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In an examination, the maximum mark for ...

In an examination, the maximum mark for each of the three papers is 50 and the maximum mark for the fourth paper is 100. Find the number of ways in which the candidate can score 605 marks in aggregate.

A

110551

B

40375

C

6176

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Required number of ways `=` coefficient of `x^(150)` in
`(x^(0)+x+x^(2)…x^(50))^(3)(x^(0)+x+x^(2)….x^(100))`
`.^(153)C_(150)-3 .^(102)C_(49)+3.^(51)C_(48)`
`=70176+40375=110551`
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