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 [tex] ^{41}C_1 [/tex]
Likewise, the number of ways a female student can be chosen from 48 females is [tex] ^{48}C_1 [/tex].
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:
[tex] ^{41}C_1\times ^{48}C_1=1968 [/tex]
