Home » Aptitude » Permutation and Combination

A class has 8 football players. A 5-member team and a captain will be selected out of these 8 players. How many different selections can be made ?

Correct Answer: 168

Explanation:

we can select the 5 member team out of the 8 in 8C5 ways = 56 ways.


The captain can be selected from amongst the remaining 3 players in 3 ways.


Therefore, total ways the selection of 5 players and a captain can be made = 56x3 = 168 ways.


 


(or)


 


Alternatively, A team of 6 members has to be selected from the 8 players. This can be done in 8C6 or 28 ways.


Now, the captain can be selected from these 6 players in 6 ways.


Therefore, total ways the selection can be made is 28x6 = 168 ways.


← Previous Question Next Question→

More Questions from Permutation and Combination

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion