An executive committee of three is selected from a group of ten. Which expression best describes the number of combinations?

Question

These are my choices. I have to have one of these as the answer. I am stuck.

My answer was B. 10!, but I am still not sure. Can anyone help me please?

A. 10P3 (small 10 and 3)
B. 10!
C. 3P10 (small 3 and 10)
D. 10P3/3! (small 10 and 3 on top, big 3! on the bottom)

Answer 1

I believe you have asked this same question several times, each time under a different name
the last time it was answered for you by Damon in
http://www.jiskha.com/display.cgi?id=1301259576

This is a straightforward question dealing with
"choosing" 3 form 10, that is
C(10,3) or in your notation ₁₀C<sub>3

10</sub>C₃ is defined as
10!/(7!3!)

₁₀P₃ would be defined as 10!/7!, so in D, if we divide that further by 3! we would have the definition of ₁₀C₃

so D is the correct choice.

Answer 2

Sorry, I asked it twice because he didn't give me an A,B,C,D and I didn't know what he meant by the answer he gave. Thanks for answering.