Question

9 students volunteer for a committee. How many different 2-person committees can be chosen?

Answer 1

so you know from the problem you can have 2 students in a group

Answer 2

if you divide 9 /2, you get a fraction but we can't have a fraction of a group so take the nearest whole number

Answer 3

In this case, order is not important.
Let's say the students are named A through I.
Having A and B in a committee is the same as having B and A in the committee.

Answer 4

I Got 36 ?

Answer 5

I wonder as I went through that logic if this problem is a little more complicated than it appears to be

Answer 6

The answer choses are
a.362,880
b.1
c.72
d.36

Answer 7

would you need to know how many students there are to find how many committees?

Answer 8

You need \(_9C_2\).

In general, \(_nC_r = \dfrac{n!}{(n - r)!r!}\)

\( _9C_2 = \dfrac{9!}{(9 - 2)! 2!} \)

\(= \dfrac{9 \times 8 \times \cancel{7!}}{\cancel{7!}\times 2} \)

\(= 36\)

Answer 9

You are correct, 36 is the answer.

Answer 10

alright thank you guys !

Answer 11

wlcm