Question 19 of 42intermediate🔧 ApplyNumerical5 marks
A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of: (i) exactly 3 girls? (ii) atleast 3 girls? (iii) atmost 3 girls?
(i)
Answer
504 ways
(ii)
Answer
588 ways
(iii)
Answer
1632 ways
Explanation
This question involves combinations since order of selection doesn't matter for forming a committee. We use the multiplication principle: when selecting from two distinct groups, multiply the number of ways to select from each group. For 'at least' conditions, we sum all qualifying cases. For 'at most' conditions, we sum all cases from zero up to the specified number.