diff --git a/README.md b/README.md
index 2908dbb..7fbd04a 100644
--- a/README.md
+++ b/README.md
@@ -216,6 +216,7 @@ Challenges, solutions, and unit tests are presented in the form of **IPython/Jup
| Print all valid combinations of n-pairs of parentheses | [Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md)│[Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md) |
| Implement a paint fill function | [Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md)│[Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md) |
| Find all permutations to represent n cents, given 1, 5, 10, 25 cent coins | [Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md)│[Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md) |
+| Find the number of ways to represent n cents given k arbitrary cent coins | [Challenge](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/recursion_dynamic/coin_change_ways/coinchange_ways_challenge.ipynb)│[Solution](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/recursion_dynamic/coin_change_ways/coinchange_ways_solution.ipynb) |
| Add a challenge | [Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md)│[Contribute](https://github.com/donnemartin/interactive-coding-challenges/blob/master/CONTRIBUTING.md) |
diff --git a/recursion_dynamic/coinchange_ways/coinchange_ways_challenge.ipynb b/recursion_dynamic/coinchange_ways/coinchange_ways_challenge.ipynb
new file mode 100644
index 0000000..ecabaa8
--- /dev/null
+++ b/recursion_dynamic/coinchange_ways/coinchange_ways_challenge.ipynb
@@ -0,0 +1,164 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This notebook was prepared by [mrb00l34n](http://github.com/mrb00l34n). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges)."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Challenge Notebook"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Problem: Counting Ways of Making Change\n",
+ "\n",
+ "* [Explanation](#Explanation)\n",
+ "* [Test Cases](#Test-Cases)\n",
+ "* [Algorithm](#Algorithm)\n",
+ "* [Code](#Code)\n",
+ "* [Unit Test](#Unit-Test)\n",
+ "* [Solution Notebook](#Solution-Notebook)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Explanation\n",
+ "\n",
+ "How many ways are there of making change for n, given k distinct coins? For example:\n",
+ "\n",
+ "Input: n = 4, k = 2, coins = [1,2]\n",
+ "\n",
+ "Output: 3. 1+1+1+1, 1+2+1, 2+2, would be the ways of making change.\n",
+ "\n",
+ "Note that a coin can be used any number of times, and we are counting unique combinations."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Test Cases\n",
+ "\n",
+ "* Input: n = 0, k = 2, coins = [1,2] -> Output: 0\n",
+ "* Input: n = 100, k = 3, coins = [1,2,3] -> Output: 884\n",
+ "* Input: n = 1000, k = 100, coins = [1,2,3...99,100] -> Output: 15658181104580771094597751280645\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Algorithm\n",
+ "\n",
+ "Refer to the [Solution Notebook](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/recursion_dynamic/coinchange_ways/coinchange_ways_solution.ipynb). If you are stuck and need a hint, the solution notebook's algorithm discussion might be a good place to start."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Code"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def change_ways(n,k,coins):\n",
+ " # TODO: Implement me\n",
+ " return n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Unit Test\n",
+ "\n",
+ "\n",
+ "\n",
+ "**The following unit test is expected to fail until you solve the challenge.**"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name":"stdout",
+ "text":[],
+ "output_type": "stream"
+ }
+ ],
+ "source": [
+ "# %load test_coinchange_ways.py\n",
+ "from nose.tools import assert_equal\n",
+ "\n",
+ "\n",
+ "class Challenge(object):\n",
+ "\n",
+ " def test_coinchange_ways(self,solution):\n",
+ " assert_equal(solution(0,2,[1,2]), 0)\n",
+ " assert_equal(solution(100,3,[1,2,3]), 884)\n",
+ " assert_equal(solution(1000,100,range(1,101)), 15658181104580771094597751280645)\n",
+ " print('Success: test_coinchange_ways')\n",
+ "\n",
+ "\n",
+ "def main():\n",
+ " test = Challenge()\n",
+ " test.test_coinchange_ways(change_ways)\n",
+ "\n",
+ "\n",
+ "if __name__ == '__main__':\n",
+ " main()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Solution Notebook\n",
+ "\n",
+ "Review the [Solution Notebook](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/recursion_dynamic/coinchange_ways/coinchange_ways_solution.ipynb) for a discussion on algorithms and code solutions."
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.6"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/recursion_dynamic/coinchange_ways/coinchange_ways_solution.ipynb b/recursion_dynamic/coinchange_ways/coinchange_ways_solution.ipynb
new file mode 100644
index 0000000..424159c
--- /dev/null
+++ b/recursion_dynamic/coinchange_ways/coinchange_ways_solution.ipynb
@@ -0,0 +1,180 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This notebook was prepared by [mrb00l34n](http://github.com/mrb00l34n). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges)."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Solution Notebook"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Problem: Counting Ways of Making Change\n",
+ "\n",
+ "* [Hints](#Hints)\n",
+ "* [Algorithm](#Algorithm)\n",
+ "* [Code](#Code)\n",
+ "* [Unit Test](#Unit-Test)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Hints\n",
+ "\n",
+ "* Can you think of a way to build up to a solution?\n",
+ "* If there are 2 ways of making 3, and you are now given a coin of value v, how many ways can you make 3+v?\n",
+ "* Can you think of a way to divide the problem into smaller subproblems?"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Algorithm\n",
+ "\n",
+ "One possible solution using dynamic programming:\n",
+ "* Create an array, s.t arr[i] = # of ways to make change for i\n",
+ "* Initialize arr[0] = 1, arr[i>0] = 0\n",
+ "* For each coin, and for each index from coin to n, increment arr[i] by arr[i-coin]\n",
+ "\n",
+ "How does this work?\n",
+ "* As we iterate through each coin, we are adding the ways of making arr[i-coin] to arr[i]\n",
+ "* If we have 2 ways of making 4, and are now iterating on a coin of value 3, there should be 2 ways of making 7.\n",
+ "* We are essentially adding the coin we are iterating on to the # of ways of making arr[i].\n",
+ "\n",
+ "Complexity:\n",
+ "* Time: O(mn)\n",
+ "* Space: O(n)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Code"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def change_ways(n,k,coins):\n",
+ " arr = [1] + [0] * n\n",
+ " for coin in coins:\n",
+ " for i in xrange(coin,n + 1):\n",
+ " arr[i] += arr[i - coin]\n",
+ " return 0 if n == 0 else arr[n]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Unit Test\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Overwriting test_coinchange_ways.py\n"
+ ]
+ }
+ ],
+ "source": [
+ "%%writefile test_coinchange_ways.py\n",
+ "from nose.tools import assert_equal\n",
+ "\n",
+ "\n",
+ "class Challenge(object):\n",
+ "\n",
+ " def test_coinchange_ways(self,solution):\n",
+ " assert_equal(solution(0,2,[1,2]), 0)\n",
+ " assert_equal(solution(100,3,[1,2,3]), 884)\n",
+ " assert_equal(solution(1000,100,range(1,101)), 15658181104580771094597751280645)\n",
+ " print('Success: test_coinchange_ways')\n",
+ "\n",
+ "\n",
+ "def main():\n",
+ " test = Challenge()\n",
+ " test.test_coinchange_ways(change_ways)\n",
+ "\n",
+ "\n",
+ "if __name__ == '__main__':\n",
+ " main()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Success: test_coinchange_ways\n"
+ ]
+ }
+ ],
+ "source": [
+ "%run -i test_coinchange_ways.py"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.6"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/recursion_dynamic/coinchange_ways/test_coinchange_ways.py b/recursion_dynamic/coinchange_ways/test_coinchange_ways.py
new file mode 100644
index 0000000..0d8aef0
--- /dev/null
+++ b/recursion_dynamic/coinchange_ways/test_coinchange_ways.py
@@ -0,0 +1,19 @@
+from nose.tools import assert_equal
+
+
+class Challenge(object):
+
+ def test_coinchange_ways(self,solution):
+ assert_equal(solution(0,2,[1,2]), 0)
+ assert_equal(solution(100,3,[1,2,3]), 884)
+ assert_equal(solution(1000,100,range(1,101)), 15658181104580771094597751280645)
+ print('Success: test_coinchange_ways')
+
+
+def main():
+ test = Challenge()
+ test.test_coinchange_ways(change_ways)
+
+
+if __name__ == '__main__':
+ main()
\ No newline at end of file