CAT Quantitative Aptitude Questions | CAT Permutation and Combination Questions

CAT Questions | Permutation Probability | Card Pack - Selection
× CAT Questions

CAT Quantitative Aptitude
HCF and LCM Factors Remainders Factorials Digits Ratios,Mixtures;Averages Percents; Profits; SICI Speed & Time; Races Logarithms and Exponents Pipes,Cisterns; Work,Time Set Theory Geometry Coordinate Geometry Mensuration Trigonometry Linear & Quadratic Equations Functions Inequalities Polynomials Progressions
CAT Verbal
Para Jumble Sentence Correction Sentence Elimination Paragraph Completion Reading Comprehension Critical Reasoning Word Usage Para Summary Text Completion
CAT LR DI
DI LR: Bar Graphs DI LR: Pie Charts DI LR: Multiple Graphs DI LR: Word Problems DI LR: Line Graphs DI LR: Sequencing DI LR: Grid Puzzles DI LR: Math Puzzles DI LR: Visualization DI LR: Other Patterns DI LR: CAT 2017 Cet DI LR: CAT 2017 Rural Survey DI LR: CAT 2017 Happiness DI LR: CAT 2017 Airlines DI LR: CAT 2017 Travel Route DI LR: CAT 2017 Food Delivery DI LR: CAT 2017 Square Layout DI LR: CAT 2017 Team Project DI LR: CAT 2017 Assets DI LR: CAT 2017 Pizza DI LR: CAT 2017 Electives DI LR: CAT 2017 Chess DI LR: CAT 2017 Dorms DI LR: CAT 2017 Tea DI LR: CAT 2017 Friends DI LR: CAT 2017 Security Scan

CAT Online Coaching
CAT Question MenuCAT Questions

The question is from Permutation and Combination. This is about selecting a card pack. Our task is to find out the number of ways of selecting five cards which contains all four suits. 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 22: In how many ways can be select 5 cards from a card pack such that all 4 suits appear?

  1. 52728
  2. 405646
  3. 685464
  4. 4056

2IIM : Best Online CAT Coaching


Signup and sample 5 classes
for free


Best CAT Coaching in Chennai


Batches filling fast.
Starts Sat, June 8th, 2019


Explanatory Answer

Method of solving this CAT Question from Permutation and Combination: Simple Card Pack Selection

Each suit has 13 cards and one card can be selected from each suit in 13C1 ways. For selecting 5 cards from a card pack we need to have two cards from one suit and 3 cards from the other three suits.
Suit which will have 2 cards can be selected in 4C1 ways and two cards can be selected from that suit in 13C2 ways. Overall 5 cards can be selected such that all 4 suits appear in 4C1*13C2*13C1 = 4*13*13*13*78 = 685464 ways.

The question is "In how many ways can be select 5 cards from a card pack such that all 4 suits appear?"

Hence the answer is "685464"

Choice C 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,
10-C, Kalinga Colony, Bobbili Raja Salai
K.K.Nagar, Chennai. India. Pin - 600 078

How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com