Q57 / 160 · AP EAMCET 2023 (18 May Shift 2) · Mathematics

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

A
12
Correct answer
B
15
C
20
D
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 $=5+10=15$

Hence, the correct answer is option: 'B'.

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