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
A college has 10 basketball players
Answer: A) 1260
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
Subject: Permutations and Combinations – Quantitative Aptitude – Arithmetic Ability