CAT 2017 QA Question Paper Quant Slot 2 Question

Question 29

In how many ways can 8 identical pens be distributed among Amal, Bimal, and Kamal so that Amal gets at least 1 pen, Bimal gets at least 2 pens, and Kamal gets at least 3 pens?


Correct Answer: 6

Solution

After Amal, Bimal and Kamal are given their minimum required pens, the pens left are 8 - (1 + 2 + 3) = 2 pens
Now these two pens have to be divided between three persons so that each person can get zero pens = $$^{2+3-1}C_{3-1}$$ = $$^4C_2$$  = 6

Share on Whatsapp Share on Whatsapp

Video Solution

video

Create a FREE account and get:

  • All Quant CAT complete Formulas and shortcuts PDF
  • 35+ CAT previous year papers with video solutions PDF
  • 5000+ Topic-wise Previous year CAT Solved Questions for Free

CAT Quant Questions | CAT Quantitative Ability

CAT DILR Questions | LRDI Questions For CAT

CAT Verbal Ability Questions | VARC Questions For CAT

Also Read

CAT Mock Tests
CAT 2025 Course
Free CAT Preparation
CAT Questions
CAT Formulas PDF
CAT Study Material
CAT Score vs Percentile
CAT Score Calculator
CAT Percentile Predictor
CAT Sectional Tests
CAT Exam
CAT Prep Videos
CAT Registration
CAT Syllabus 2025
CAT Eligibility Criteria
CAT Admit Card
cracku

Boost your Prep!

Download App