In an apartment,there are $30$ kids. If each kid plays table tennis with every other kid exactly once,then the total number of matches played by them is:

  • A
    $^{30}C_2$
  • B
    $^{30}P_2$
  • C
    $^{30}C_2 - 1$
  • D
    $^{30}P_2 - 1$

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If $^{2n}C_2 : ^nC_2 = 9:2$ and $^nC_r = 10$,then $r = $

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