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

Algebra ->  Permutations -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
n%21%2F%28n-r%29%21r%21 Start with the given formula



12%21%2F%2812-0%29%210%21 Plug in n=12 and r=0



12%21%2F12%210%21 Subtract 12-0 to get 12


Expand 12!




Cancel out the common terms



%281%29%2F0%21 Simplify


Expand 0! Note: by definition 0%21=1

%281%29%2F%281%29



1 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.