Question

# A village has $$10$$ players. A team of $$6$$ players is to be formed. $$5$$ members are chosen first out of these $$10$$ players and then the captain from the remaining players. Then the total number of ways of choosing such teams is

A
1260
B
210
C
(10C6)5!
D
10C56

Solution

## The correct option is A $$1260$$A village has $$10$$ players.Now a team of $$6$$ players is to be formed.Thus $$1^{st}$$ we select the $$5$$ players from total $$10$$ players in $${ _{ }^{ 10 }{ C } }_{ 5 }$$ ways and $$6^{th}$$ person will select from the remaining $$5$$ players in $$5$$ ways.Total number of ways $$={ _{ }^{ 10 }{ C } }_{ 5 }\times 5=1260$$Mathematics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More