Q.
A group consists of 4 girls and 7 boys.
Statement I The number of ways a team of 5 members can be selected, if the team has no girls are 21.
Statement II The number of ways a team of 5 members can be selected, if it has atleast one boy and one girl are 441.
Statement III The number of ways a team of 5 members can be selected, if it has atleast 3 girls are 90.
Identify the correct combination of true (T) and false $(F)$ of the given three statements.
Permutations and Combinations
Solution: