A question paper consists of two sections having respectively 3 and 5 questions. The following note is given on the paper. "It is not necessary to attempt all the questions". One question from each section is compulsory. In how many ways, a candidate...


A) 38

B) 217

C) 256

D) 320

Correct Answer:
B) 217

Description for Correct answer:
Here we have two sections A and B. Section A has 3 questions and B has 5 questions and one question from each section is compulsory according to the given condition.

Number of ways selecting one or more than one question from section A. 

= \( 3 + 3 + 1 = 7 \)

Similarly, from section b = \( 1 + 5 +  24  + 1 = 31 \)

According to the rule of multiplication, the required number of ways in which a candidate can select the questions = 7 X 31 = 217

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