Q. 24.5( 6 Votes )

A person wants to buy one fountain pen, one ball pen, and one pencil from a stationery shop. If there are 10 fountain pen varieties, 12 ball pen varieties and 5 pencil varieties, in how many ways can he select these articles?

Answer :

Given: 10 fountain pens, 12 ball pens, and 5 pencil


We have to select one fountain pen from 10 fountain pens, one ball pen from 12 ball pens and one pencil from 5 pencils.


Therefore, the number of ways to select one fountain pen is 10C1 and similarly the number of ways to select one ball pen is 12C1 and number of ways to select one pencil from 5 pencils in 5C1


Hence, the number of ways to select one fountain pen, one ball pen and one pencil from a stationery shop is 10C1 × 12C1 × 5C1 = 10 × 12 × 5 = 600


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Circular permutationsFREE Class
Lecture on Combinations49 mins
Understand Permutations like never before60 mins
Check Your progress Part 2| Interactive Quiz: Permutation & CombinationFREE Class
Interactive Quiz on Combinations-02FREE Class
Interactive Quiz on Combinations50 mins
Fundamental Principle of Counting49 mins
Permutation & Combination (Lecture 4)FREE Class
Interactive Quiz on Circular permutationsFREE Class
Lets see how good you can manage numbers | P&C Quiz Challenge41 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :