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AP EAMCET · Maths · Permutation Combination

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

  1. A 12
  2. B 15
  3. C 20
  4. D 25
Verified Solution

Answer & Solution

Correct Answer

(B) 15

Step-by-step Solution

Detailed explanation

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 \(=5+10=15\)