A group consists of $$4$$ girls and $$7$$ boys. In how many ways can a team of $$5$$ members be selected is the team has no girl ?
Correct option is A. $$21$$
Girls in the groups $$=4$$
Boys in the groups $$=5$$
If no girls is selected then all the candidates should be boys
Total Number of ways $$=^4C_0 \times ^7C_5$$
$$=\dfrac {4!}{4!\times 1}\times \dfrac {7!}{2!\ 5!}$$
$$=21$$ ways.