Out of $10$ white,$9$ black and $7$ red balls,the number of ways in which selection of one or more balls can be made,is

  • A
    $881$
  • B
    $891$
  • C
    $879$
  • D
    $892$

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$\binom{n}{r} \div \binom{n}{n-1} = \dots$

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If $^nC_{12} = ^nC_6$,then $^nC_2 = $

If $^{n^2 - n}C_2 = ^{n^2 - n}C_{10}$,then $n = $

Statement-$1:$ The number of ways of distributing $10$ identical balls in $4$ distinct boxes such that no box is empty is $^9C_3$.
Statement-$2:$ The number of ways of choosing any $3$ places from $9$ different places is $^9C_3$.

What is the number of ways of choosing $4$ cards from a pack of $52$ playing cards? In how many of these are two red cards and two black cards?

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