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Question

The number of ways in which we can get a sum of 11 by throwing three dice is :

A
8
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B
27
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C
45
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D
56
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Solution

The correct option is B 27

Dice is marked with numbers 1,2,3,4,5,6.

The sum is 11 when the observations are
{1,4,6}, {1,5,5}, {2,3,6}, {2,4,5}{3,3,5}, {3,4,4}

The number of ways of getting the observations
=3!+3!2!+3!+3!+3!2!+3!2!=27 ways.


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