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Question: Answered & Verified by Expert
The number of ways in which four different toys and five indistinguishable marbles can be distributed between 3 boys, if each boy receives at least one toy and at least one marble, is
MathematicsPermutation CombinationJEE Main
Options:
  • A 42
  • B 100
  • C 150
  • D 216
Solution:
1485 Upvotes Verified Answer
The correct answer is: 216
5 identical marbles can be distributed to 3 boys, each receiving at least one in 5-1C3-1=C42 ways
4 different toys can be grouped as 2,1,1 in 4!2!1!1!=4!2! ways
Two boys will get 1 each and they can be selected in C23 ways.
Required number of ways =C42×4!2!×C32=6×12×3=216

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