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From a Group of 15 Cricket Players, a Team of 11 Players is to Be Chosen. in How Many Ways Can this Be Done?

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Question

From a group of 15 cricket players, a team of 11 players is to be chosen. In how many ways can this be done?

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Solution

Required number of ways =\[{}^{15} C_{11}\]

Now,

\[{}^{15} C_{11} =^{15} C_4\]
\[= \frac{15}{4} \times \frac{14}{3} \times \frac{13}{2} \times \frac{12}{1} \times^{11} C_0\]
= 1365  
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Chapter 17: Combinations - Exercise 17.2 [Page 15]

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R.D. Sharma Mathematics [English] Class 11
Chapter 17 Combinations
Exercise 17.2 | Q 1 | Page 15

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