In an apartment there are 30 kids. If each kid plays table tennis with other kid, then the total number of…

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. \({ }^{30} \mathrm{C}_2\)
  2. \({ }^{30} P_2\)
  3. \({ }^{30} \mathrm{C}_2-1\)
  4. \({ }^{30} P_2-1\)

Solution

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

Asked in: AP EAMCET 2020 (18 Sep Shift 1)

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