Q.

The number of ways in which 21 identical apples can be distributed among three children such that each child gets at least 2 apples, is 

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a

406

b

142  

c

136 

d

 130 

answer is D.

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Detailed Solution

After giving 2 apples to each child 15 apples left now 15 apples can be distributed in   15+31C2=17C2=17×162=136

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The number of ways in which 21 identical apples can be distributed among three children such that each child gets at least 2 apples, is