Question

A shopkeeper has 3 different books of mathematics and 5 different books of physics.The number of ways in which one can buy atleast one book of each subject is:

• A. $255$
• B. $217$
• C. $256$
• D. $216$

Answer 1

Answer: (B)

$217$

To find the number of ways in which one can buy atleast one book of each subject
Number of Mathematics Books $=3$
Number of Physics Books $=5$
Total number of ways can be find out as
$=(2^3-1)(2^5-1)$
$=217$
Hence , Option B