In how many different ways can a cricket team of 11 players be chosen out of total 14 players?Options712364356256

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, substituting the given values 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 a cricket team of 11 players can be chosen from a total of 14 players.