Question

In how many ways can a committee of five men and four women be formed from a group of nine men and nine women?

Answer 1

\[\dbinom{9}{5}\times \dbinom{9}{4}\] do you know how to compute these numbers?

Answer 2

im using permutations and combinations though

Answer 3

is that still the right answer?

Answer 4

it is 9 choose 5 times 9 choose 4

Answer 5

maybe you have seen
\[\dbinom{9}{5}\] written as
\[_9C_5\] it is the same thing

Answer 6

soo on the calculator would it be 9 C 5

Answer 7

oh! okay sweet

Answer 8

yes

Answer 9

and in fact 9 choose 5 is the same number as 9 choose 4

Answer 10

okay and then when you get the two seperate answers do you divide?

Answer 11

oh no you multiply!

Answer 12

ohh! okay

Answer 13

you get
\[\dbinom{9}{5}=\dbinom{9}{4}=126\] so your answer is
\[126\times 126=126^2\]

Answer 14

thank you!

Answer 15

yw