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Question

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

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

A

1680

B

840

C

560

D

280

Answer

280

Explanation

Solution

Total ways = 9!(3!)3=9×8×7×6×5×43×2×3×2×3×2\frac{9!}{(3!)^{3}} = \frac{9 \times 8 \times 7 \times 6 \times 5 \times 4}{3 \times 2 \times 3 \times 2 \times 3 \times 2}= 280.`