Question

at a small school, one male and one female are selected to represent the student body at the PTSCA meetings. if there are 41 males and 48 females, how many different 2-person combinations are possible to represent the student body at the PTSAC meetings?

Answer 1

It is given that there are 41 males and 48 females in the small school.

So, the number of ways a male student can be chosen from 41 males is $^{41}C_1$

Likewise, the number of ways a female student can be chosen from 48 females is $^{48}C_1$.

Thus, the total number of ways in which 2-person combinations are possible to represent the student body at the PTSAC meetings will be given by:

$^{41}C_1\times ^{48}C_1=1968$