## Creating Even #s Out of Lists of #s

**The # of ways to create an even # when given a list of #s is tricky when ZERO is involved**

Example

How many 4 digit even #s can be made out of the following digits: 2, 3, 4, 8, 9, 0, without repetition?

To answer this question you must split the question into two cases:

ending in 0 and ending in an even #

*ending in 0*

5 x 4 x 3 x 1 = **60**

the first blank has a five because once the 0 is used you have 5 #s that could go in the first spot

*ending in 2, 4, or 8*

4 x 4 x 3 x 3 = **144**

**You would then add these #s together to find how many 4 digit even #s can be created.**

**204**

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Tomorrow's blog will show a way to do the binomial expansion quicker using symettry.

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