The number of ways to distribute 30 identical candies among four children C_ 1 , C_ 2 , C_ 3 and C_ 4 so that C_ 2 receives atleast 4 and atmost 7 candies, C_ 3 receives atleast 2 and atmost 6 candies, is equal to:

JEE Main 2022 Mathematics question

The number of ways to distribute 30 identical candies among four children , , and so that receives atleast 4 and atmost 7 candies, receives atleast 2 and atmost 6 candies, is equal to:

(1)205
(2)615
(3)510
(4)430Correct

Answer: (4)

Solution

The required number is the coefficient of in . This is the coefficient of in $[(1 -

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Question ID VK-034868