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In how many different ways can a cricket team of 11 players be chosen out of total 14 players?Options356256712364

Question

In how many different ways can a cricket team of 11 players be chosen out of total 14 players?Options356256712364

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Solution

The number of ways a cricket team of 11 players can be chosen out of a total of 14 players can be calculated using the combination formula in mathematics.

The combination formula is: C(n, r) = n! / [(n-r)! * r!]

Where:

  • n is the total number of options (in this case, 14 players),
  • r is the number of options to choose (in this case, 11 players),
  • "!" denotes a factorial, meaning the product of all positive integers up to that number.

So, to calculate the number of ways to choose 11 players out of 14, we substitute n = 14 and r = 11 into the formula:

C(14, 11) = 14! / [(14-11)! * 11!]

This simplifies to:

C(14, 11) = 14! / (3! * 11!)

Calculating the factorials and simplifying gives:

C(14, 11) = (141312) / (321) = 364

So, there are 364 different ways to choose a cricket team of 11 players from a total of 14 players.

This problem has been solved

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