Three dice whose all six faces are marked lsquo 1 rsquo to lsquo 6 rsquo are thrown The number of wa...........

Quantitative Aptitude( Paper-I ) Probability

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Three dice, whose all six faces are marked ‘1’ to ‘6’, are thrown. The number of ways of getting a sum of 16 is

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Explanation:

Two dice can give max 6+6=12. So third dice has to give minimum 4
Only two situations possible
First situation: 4+6+6= 16.
Here 3 chairs, but two numbers are same (4,4)
So 3!/2! ways to arrange=3 ways
Second situation 5+6+5
Again 3 chairs but two numbers are same (5,5)
So 3!/2! ways to arrange=3 ways
Total 3+3=6 ways