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Permutation and Combinations — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsPermutation and Combinations1 Mark
MCQ
Value of $0!$ is always $1:$
  • ✓
    True
  • B
    False
  • C
    Either
  • D
    Neither
✓

Answer

Correct option: A.
True
we know $1! = 1$
Also $n! = n \times (n − 1) \times (n − 2)........3 \times 2 \times 1n!$
$= n \times (n − 1)! 1 !$
$= 1(1 − 1)! 1$
$= 1(0)! 0 !$
$= 1$
$0!$ is always $1$

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