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Permutations — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsPermutations2 Marks
Question
Convert the following products into factorials:
$3.6.9.12.15.18$
✓

Answer

We have,
$3 \times 6 \times 9 \times 12 \times 15 \times 18$
$=3 \times (3 \times 2) \times (3 \times 3) \times (3 \times 4) \times (3 \times 5) \times (3 \times 6)$
$=3^6\times [2 \times 3 \times 4 \times 5 \times 6]$
$=3^6\times (6!)$

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