From a class of 14 boys and 9 girls, how many ways can I choose a committee of 6 to analyze classroom productivity with and equal number of boys and girls?
a) 30,576
b)252,252
c)48
d)126

Question

From a class of 14 boys and 9 girls, how many ways can I choose a committee of 6 to analyze classroom productivity with and equal number of boys and girls?
a) 30,576
b)252,252
c)48
d)126

anonymous · Answer

Don't quote me on this but I think it is D. 126....

anonymous · Answer

ok thanks

anonymous · Answer

Your Welcome, good Luck! :)

anonymous · Answer

for some reason i think its choice a but I'm not 100% sure.can anyone else help?

anonymous · Answer

ASAP

anonymous · Answer

please anyone help asap. I don't need a too detailed answer

kropot72 · Answer

The number of ways to choose 3 girls from 14 girls is 14C3. Each of these ways can be combined with each of the 9C3 ways of choosing 3 boys from 9 boys. Therefore the total number of ways of choosing 6 students with equal numbers of boys and girls is given by:
$$\large 14C3\times9C3=\frac{14\times13\times12}{6}\times\frac{9\times8\times7}{6}=you\ can\ calculate$$

anonymous · Answer

that's not one of the answer choices which is odd because it looks right

kropot72 · Answer

What did you get for each of the fractions?

anonymous · Answer

i got the same as you to be honest but it wasn't one of the answer choices so i thought i did it wrong

kropot72 · Answer

But what did you get for each of the fractions?