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Question: Answered & Verified by Expert
The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is
MathematicsPermutation CombinationJEE MainJEE Main 2004
Options:
  • A
    5
  • B
    ${ }^8 C_3$
  • C
    $3^8$
  • D
    21
Solution:
1997 Upvotes Verified Answer
The correct answer is:
21
Number of balls $=8$
number of boxes $=3$
Hence number of ways $={ }^7 C_2=21$.

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