If 5 dice are rolled simultaneously, then the number of ways of getting a total of seven of the numbers…

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. 12
  2. 15
  3. 20
  4. 25

Solution

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 $=5+10=15$

Asked in: AP EAMCET 2023 (18 May Shift 2)

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