Question

please help me i need to know if im setting up this combination correctly.
A law office interviews paralegals for 10 opennings. there are 13 para. w/ 2 yrs of experince and 20 w/ one yr of experince
how many combinations of seven paralegals w/ two years of expeerience and three paralegals w/ one yr of experience are possible?

is it 10choose7 times 10choose3????

Answer 1

It's \(\Large\binom{13}{7}\cdot \binom{20}{3}\). :D

Answer 2

can u explaiN plz?

Answer 3

I mixed up my paralegals. There's 13 with 2yr experience, and 20 with 1 yr experience. The explanation would then be as follows:

the first is 13-choose-7 since you have a set of 13 paralegals with 2 yr of experience, and you want 7 of them.

The second is 20-choose-3 since you have a set of 20 paralegals with 1yr of experience and you want to choose 3 of them.

Answer 4

so i would find the combination of both and then x?

Answer 5

am i right or wrong?

Answer 6

Find both and then multiply.

Answer 7

ok thank u! :::))))

Answer 8

so then it would b 1,956,240 right?

Answer 9

That looks correct to me.