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Permutations , combinations and binomial expansion — Statistics STD 11 Commerce — Question

Gujarat BoardEnglish MediumSTD 11 CommerceStatisticsPermutations , combinations and binomial expansion1 Mark
MCQ
In usual notations, which of the following relation between permutation and combination is true ?
  • A
    $  { }^n C_r={ }^n P_r Xr$ !
  • B
    $ { }^n P_r={ }^n C_r+r!$
  • C
    $ { }^n P_r=\frac{n C_r}{r!}$
  • ✓
    $ { }^n C_r=\frac{n P_r}{r!}$
✓

Answer

Correct option: D.
$ { }^n C_r=\frac{n P_r}{r!}$

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