How many different committes can be formed from 7 teachers and 41 students if the committee consists of 2 teachers and 2 students

Question

anonymous · Answer

the short answer is 7 choose 2 times 41 choose 2

anonymous · Answer

sometimes written as 
$$\binom{7}{2}\times \binom{41}{2}$$ or  $$_7C2\times _{41}C_2$$ or even 
$$^7C_2\times ^{41}C_2$$

anonymous · Answer

do you know how to compute these numbers?

anonymous · Answer

no

anonymous · Answer

they are both computed similarly
$$\binom{7}{2}=\frac{7\times 6}{2}$$ and $$\binom{41}{2}=\frac{41\times 40}{2}$$

anonymous · Answer

oh so the answer is 17220?

anonymous · Answer

i don't know, i didn't do it

anonymous · Answer

anonymous · Answer

sweet thanks

anonymous · Answer

yw