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Permutations — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSPermutations3 Marks
Question
Which of the following are ture.
(2 × 3)! = 2! × 3!
✓

Answer

We have,
L.H.S. = (2 × 3)!
= 6!
= 6 × 5 × 4 × 3 × 2 × 1 
= 720
and, R.H.S.
= 2! × 3!
= 12
$\therefore 720 \neq 12$
$\therefore (2 \times3)\neq 2! \times 3!$
so it is false

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