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Question: Answered & Verified by Expert
In an apartment there are 30 kids. If each kid plays table tennis with other kid, then the total number of matches played by them
MathematicsPermutation CombinationAP EAMCETAP EAMCET 2020 (18 Sep Shift 1)
Options:
  • A \({ }^{30} \mathrm{C}_2\)
  • B \({ }^{30} P_2\)
  • C \({ }^{30} \mathrm{C}_2-1\)
  • D \({ }^{30} P_2-1\)
Solution:
1284 Upvotes Verified Answer
The correct answer is: \({ }^{30} \mathrm{C}_2\)
The number of required matches played is same as the number ways to choose two kids among 30 kids and it is equal to \({ }^{30} C_2\).

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