A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?
A.1260
B.1400
C.1250
D.1600
Answer and Feedback
Answer:A
Feedback:A team of 6 members has to be selected from the 10 players. This can be done in 10C6 or
210 ways. Now, the captain can be selected from these 6 players in 6 ways.
Therefore, total ways the selection can be made is 210×6= 1260.
210 ways. Now, the captain can be selected from these 6 players in 6 ways.
Therefore, total ways the selection can be made is 210×6= 1260.