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Permutations — MATHS STD 11 Science — Question

Gujarat 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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