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* ^(48)C_1=1968`