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Q.

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 can a candidate select the questions? 

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a

217

b

230

c

225

d

250

answer is A.

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Detailed Solution

Here, we have two sections A and B (say), the section A has 3 questions and section B has 5 questions and one question from each section is compulsory, according to the given direction. 

 Number of ways selecting one or more than one question from section A is 231=7

and number of ways selecting one or more than one question from section B is 251=31

Hence, by the principle of multiplication, the required number of ways in which a candidate can select the questions

                                   =7×31=217

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