There are 3 sections in a question paper & each section contains 5 questions. A candidate has to answer a total of 5 questions, choosing at least one question from each section. Then the number of ways in which the candidate can choose questions is:
Option: 1 3000
Option: 2 2250
Option: 3 2255
Option: 4 1500

Answers (1)

Case I:  3, 1, 1

The number of ways is 3 \times\left(^5C_3\; ^{5}C_{1} \;^{5}C_1\right)=750 

Case II:  2, 2, 1

The number of ways is 3 \times\left(^5C_2\; ^{5}C_{2} \;^{5}C_1\right)=1500

The total number of ways 2250.

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