A question paper consists of two sections having 3 and 4 questions respectively. The following note is given…
A question paper consists of two sections having 3 and 4 questions respectively. 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?
$105$
$210$
$27$
$25$
Solution
Number of ways of selecting one or more than one question from section $A=2^3-1=7$
And number of ways of selecting one or more than one question from section $B=2^4 1=15$
$\therefore$ Total ways of section $=7 \times 15=105$