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There are 6 players in a cricket which is to be sent to Australian tour. The total number of members is 12.
Q. If 3 particular player is always excluded
- a)76
- b)82
- c)84
- d)88
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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There are 6 players in a cricket which is to be sent to Australian tou...
Answer – c) 84 Explanation : 6 players to be selected from remaining 9 players in 9c6 = 84 ways
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There are 6 players in a cricket which is to be sent to Australian tou...
Question Category: Quantitative Aptitude
Given:
- Total members in the cricket team = 12
- Number of players to be sent to Australian tour = 6
- Particular 3 players are always excluded
To find: Total number of ways to select 6 players for the tour excluding 3 players
Solution:
To select 6 players from 9 players (12-3 excluded players), we can use the combination formula as:
nCr = n! / (r! * (n-r)!)
where n = total number of players, r = number of players to be selected
Substituting n = 9 and r = 6 in the above formula, we get
9C6 = 9! / (6! * (9-6)!) = (9*8*7)/(3*2*1) = 84
Therefore, the total number of ways to select 6 players for the tour excluding 3 particular players is 84.
Hence, the correct answer is option (c) 84.
Given:
- Total members in the cricket team = 12
- Number of players to be sent to Australian tour = 6
- Particular 3 players are always excluded
To find: Total number of ways to select 6 players for the tour excluding 3 players
Solution:
To select 6 players from 9 players (12-3 excluded players), we can use the combination formula as:
nCr = n! / (r! * (n-r)!)
where n = total number of players, r = number of players to be selected
Substituting n = 9 and r = 6 in the above formula, we get
9C6 = 9! / (6! * (9-6)!) = (9*8*7)/(3*2*1) = 84
Therefore, the total number of ways to select 6 players for the tour excluding 3 particular players is 84.
Hence, the correct answer is option (c) 84.
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