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AP EAMCET · Maths · Permutation Combination

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

  1. A \({ }^{30} \mathrm{C}_2\)
  2. B \({ }^{30} P_2\)
  3. C \({ }^{30} \mathrm{C}_2-1\)
  4. D \({ }^{30} P_2-1\)
Verified Solution

Answer & Solution

Correct Answer

(A) \({ }^{30} \mathrm{C}_2\)

Step-by-step Solution

Detailed explanation

The number of required matches played is same as the number ways to choose two kids among 30 kids and it is equal to \({ }^{30} C_2\).