SOLUTION: can someone please help me with this problem: 12C0 (the 0 is at the bottom of C) a. 12 b. 11 c. 39,916,800 d. 1

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Question 162961: can someone please help me with this problem:
12C0 (the 0 is at the bottom of C)
a. 12
b. 11
c. 39,916,800
d. 1

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given formula



Plug in and



Subtract to get 12


Expand 12!




Cancel out the common terms



Simplify


Expand 0! Note: by definition





Reduce


So the answer is d) 1


Think of it this way: how many ways can you assemble a team of 0 people if you have 12 people to choose from (order does not matter)? The answer is 1 since there is only one way to do this.

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