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Question: Answered & Verified by Expert
The number of ways in which 9 persons can be divided into three equal groups
MathematicsPermutation CombinationJEE Main
Options:
  • A $1680$
  • B $840$
  • C $560$
  • D $280$
Solution:
2162 Upvotes Verified Answer
The correct answer is: $1680$
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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