CAT Quantitative Aptitude Questions | CAT Permutation and Combination Questions

CAT Questions | Permutation Probability | Rolling a Die

The question is from Permutation and Combination. This one is about rolling a die. We need to find out the the outcome of each throw being greater than the previous one. This section hosts a number of questions which are on par with CAT questions in difficulty on CAT Permutation and Combination, and CAT Probability.

Question 23: I roll a die 4 times. In how many outcomes will each subsequent throw be greater that the previous one?

  1. 15
  2. 48
  3. 30
  4. 60

Best CAT Online Coaching
Try upto 40 hours for free
Learn from the best!

2IIM : Best Online CAT Coaching.

Best CAT Coaching in Chennai

CAT Coaching in Chennai - CAT 2022
Limited Seats Available - Register Now!

Explanatory Answer

Method of solving this CAT Question from Permutation and Combination: Outcome greater than the previous one

If we want the outcome in each throw to be greater than the previous one, essentially we are looking at four different outcomes in each throw and the possibility of each outcome being greater than the previous is possible only in one combination.
So, we are looking at just selecting four outcomes out of 6 possible outcomes when we normally roll a die. This is equal to 6C4= 15 ways.

The question is "In how many outcomes will each subsequent throw be greater that the previous one?"

Hence the answer is "15"

Choice A is the correct answer.


CAT Preparation Online | CAT Permutation and Combination; Probability Videos On YouTube

Other useful sources for Permutation and Combination Questions | Probability Questions

CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

CAT Questions | Verbal Ability for CAT

Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now