A question paper consists of two sections having respectively, 3 and 5 questions. The followinng note is given on the paper "it is not necessory to attempt all the questions one questions from each section is compulsory". In how many ways can candidate select the questions?

Explanation

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.
`therefore`Number of ways selecting one or more than one question from section A is `2^(3)-1=7`
and number of ways selecting one or more than one questions from section B is `2^(5)-1=31`
Hence, by the principle multiplication, the required number of ways in which a candidate can select the questions.
`=7xx31=217`.