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Question: Answered & Verified by Expert
In how many ways 3 letters can be posted in 4 letter-boxes, if all the letters are not posted in the same letter-box
MathematicsPermutation CombinationJEE Main
Options:
  • A $63$
  • B $60$
  • C $77$
  • D $81$
Solution:
2076 Upvotes Verified Answer
The correct answer is: $60$
Three letters can be posted in 4 letter boxes
in $4^{\wedge} 3=64$ ways but it consists the 4 ways
that all letters may be posted in same box.
Hence required ways $=60$.

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