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Question: Answered & Verified by Expert
The number of ways of distributing eight identical rings to three different girls so that every girl gets at least one ring is
MathematicsPermutation CombinationAP EAMCETAP EAMCET 2021 (19 Aug Shift 1)
Options:
  • A 21
  • B 120
  • C 8P3
  • D 8P3-6
Solution:
1354 Upvotes Verified Answer
The correct answer is: 21

We know that the probability of selection of r objects out of n distinct objects when p objects are always selected is Cr-pn-p.

Here, n=8, r=3, p=1

The number of ways of distributing eight identical rings to three different girls so that every girl gets at least one ring is C3-18-1.

C2=77!5!×2!=21 ways.

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