Question

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

Answer 1

the short answer is 7 choose 2 times 41 choose 2

Answer 2

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

Answer 3

do you know how to compute these numbers?

Answer 4

no

Answer 5

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

Answer 6

oh so the answer is 17220?

Answer 7

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

Answer 8

yeah, looks good
http://www.wolframalpha.com/input/?i=%287+choose+2%29*%2841+choose+2%29

Answer 9

sweet thanks

Answer 10

yw