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Permutations — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsPermutations2 Marks
Question
Which of the following are ture.
(2 + 3)! = 2! + 3!
✓

Answer

We have,
L.H.S. = (2 + 3)!
= 5!
= 5 × 4 × 3 × 2 × 1
= 120
and, R.H.S.
= 2! + 3!
= 2 × 1 + 3 × 2
= 2 × 1 + 3 × 2 × 1
= 2 + 6
= 8
$\therefore 120 \neq 8$
$\therefore (2 +3)\neq 2! + 3!$
so it is false

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