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Permutation and Combination
In how many ways can the captain of a cricket team select 11 players from a squad of 14 players?
Read Solution (Total 11)
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- total Player to be selcted = 10 [as MSD is Captain, who will not going to seat out of team ,]
So 13C10 - 9 years agoHelpfull: Yes(7) No(1)
- 13C10 (captain is already a member of the team)
- 9 years agoHelpfull: Yes(3) No(1)
- --> 14 C 11
then 14-11 So, 14C3 ==> 14*13*12 / 3*2*1 == 14 * 13 * 2 ==> finally 364 - 9 years agoHelpfull: Yes(2) No(1)
- If 14C11 would be the answer, there might be a possibility that captain himself is not included in team... 😊
- 9 years agoHelpfull: Yes(2) No(0)
- bcz captain is already selected so go by formula:
n-k
c
r-k
where k is already selected
so ans is 13c10
- 8 years agoHelpfull: Yes(2) No(0)
- 14C11=14C3= (14*13*12)/(1*2*3) =364
- 9 years agoHelpfull: Yes(1) No(1)
- 13C10=286
- 9 years agoHelpfull: Yes(1) No(0)
- Answer 364
14C11 = 14! / (11! * 3!) = 364 - 9 years agoHelpfull: Yes(1) No(0)
14C11 bcz the capt have to select 11 members from team so he have to select among 14 combinations
- 9 years agoHelpfull: Yes(0) No(2)
- ans is 14c11...
- 9 years agoHelpfull: Yes(0) No(0)
- 4c11 =364 is the answer because in a cricket team there will be total 15 players
- 9 years agoHelpfull: Yes(0) No(0)
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