Question:

In how many ways can a cricket eleven be chosen out of a batch of 15 players?

Updated On: Mar 6, 2025
  • 1000
  • 1665
  • 225
  • 1365
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The Correct Option is D

Solution and Explanation

Step 1: The number of ways to choose 11 players from 15 is given by the combination formula: 

15C11=15C4 {}^{15}C_{11} = {}^{15}C_{4}

Step 2: Calculate 15C4 {}^{15}C_{4} :

15C4=15×14×13×124×3×2×1 {}^{15}C_{4} = \frac{15 \times 14 \times 13 \times 12}{4 \times 3 \times 2 \times 1}

=1365 = 1365

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