A college has 10 basketball players. A 5 member's team and a captain will be selected out of these 10 players. How many different selections can be made?
A. 1260
B. 210
C. 10C6 × 6!
D. 10C5 × 6
Answer: Option A
Solution(By Examveda Team)
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 = 1260Alternatively
We can select the 5 member team out of the 10 in 10C5 ways = 252 ways. The captain can be selected from amongst the remaining 5 players in 5 ways. Therefore, total ways the selection of 5 players and a captain can be made, = 252 × 5
= 1260
This Question Belongs to Arithmetic Ability >> Permutation And Combination
Join The Discussion
Comments ( 1 )
Related Questions on Permutation and Combination
A. 3! 4! 8! 4!
B. 3! 8!
C. 4! 4!
D. 8! 4! 4!
A. 7560,60,1680
B. 7890,120,650
C. 7650,200,4444
D. None of these
A. 8 × 9!
B. 8 × 8!
C. 7 × 9!
D. 9 × 8!
In the picture above at the bottom it is written that the Answer is C but in that it also have a factorial with 6. can u please explain that ??