A certain class consissts of 12 men and 16 women How many co
A certain class consissts of 12 men and 16 women. How many committees can be chosen from this class consisting of:
b) 3 men and 4 women?
I think it is just (12 choose 3) x (16 choose 4)
Solution
Given
A certain class consissts of 12 men and 16 women.
we have to find the how many commeties of 3 mens and 4 womens will be formed
means we have to find number of ways in which commetie of 3 mens and 4 womens is formed
so for commite we select 3 mens from 12 mens and 4 womens from 16 womens
so we can select 3 mens in (12 choose 3) ways and we select 4 womens in(16 choose 4 ) ways
so
we select commiteie in (12 choose 3)*(16 choose 4) ways. Answer

