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Four dice are thrown simultaneously. The number of ways in which we get the total sum 23 on all dices is:
Question

Four dice are thrown simultaneously. The number of ways in which we get the total sum 23 on all dices is:

A.

62

B.

1

C.

4

D.

27

Correct option is C

Given:

Four dice are thrown simultaneously.

Total sum required on dices = 23

Solution:

Total sum of 23 on four dices can be achieved by,

(6,6,6,5) – 4!/3!

=4×3×2×13×2×1= \frac{4 \times 3 \times 2 \times 1}{3 \times 2 \times 1}

= 4 ways 

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