The number of ways in which 9 persons can be divided into three e… - Vidyadip

MCQ

The number of ways in which $9$ persons can be divided into three equal groups is

✓
$1680$
B
$840$
C
$560$
D
$280$

✓

Answer

Correct option: A.

$1680$

a
(a) Total ways $ = \frac{{9!}}{{{{(3!)}^3}}} = \frac{{9 \times 8 \times 7 \times 6 \times 5 \times 4}}{{3 \times 2 \times 3 \times 2}} = 1680$.

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