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Question: Answered & Verified by Expert
If 5 dice are rolled simultaneously, then the number of ways of getting a total of seven of the numbers appear on their faces is
MathematicsPermutation CombinationAP EAMCETAP EAMCET 2023 (18 May Shift 2)
Options:
  • A 12
  • B 15
  • C 20
  • D 25
Solution:
1890 Upvotes Verified Answer
The correct answer is: 15
The following are the cases when the sum will be
(i) $7=1+1+1+1+3={ }^5 \mathrm{C}_1$ ways $=5$
(ii) $7=1+1+1+2+2={ }^5 \mathrm{C}_2$ ways $=10$
$\therefore$ Total no. of ways $=5+10=15$

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