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

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Q: 9 (CAPF/2012)
Three dice, whose all six faces arc- marked ‘1’ to ‘6’, are thrown. The number of ways of getting a sum of 16 is

question_subject: 

Logic/Reasoning

question_exam: 

CAPF

stats: 

0,7,15,5,5,7,5

keywords: 

{'dice': [0, 1, 2, 4], 'sum': [0, 2, 5, 4], 'faces': [0, 0, 1, 0], 'number': [0, 0, 0, 2], 'ways': [0, 0, 0, 1]}

To find the number of ways to get a sum of 16 when three dice are thrown, we can consider all possible combinations of numbers that add up to 16.

Option 1: 3

This option suggests that there are 3 ways to get a sum of 16. However, this is incorrect.

Option 2: 4

This option suggests that there are 4 ways to get a sum of 16. Let`s explore this option further.

One possible way to get a sum of 16 is to have all three dice show the number 6. This can happen in only one way.

Another way is to have one die show the number 1, another die show the number 6, and the third die show the number 9. This can happen in 3 different ways, depending on which die shows the number 1.

Therefore, there are a total of 4 ways to get a sum of 16.

Option 3: 6

This option suggests that there are 6 ways to get a sum of 16. However, this is not correct.

Option 4: 12

This option suggests that there are 12 ways to get a sum of 16. Let