Permutation Combination MCQs with Answers

Permutation Combination MCQs are a crucial component of the CSS Competitive Exam, evaluating candidates’ problem-solving skills regarding arrangement and selection of objects in particular order. These questions measure mathematical competence in factorials, counting techniques, circular permutations, and combination-based choices. Permutations and combinations must be mastered to perform well in the General Ability section of the CSS exam. Understanding concepts like nPr, nCr, fundamental counting principle, and real-life applications helps candidates tackle Permutation Combination MCQs efficiently.
Importance of Permutation and Combination in CSS Exam
CSS General Ability consists of Permutation Combination MCQs to assess the logical reasoning, problem-solving with numbers, and probability-based analytical capabilities of a candidate. They demand applying formula-based method to calculate the number of ways objects would be arranged or chosen. Most candidates are weak at permutation and combination questions because they are allergic to factorial calculations and conditional restrictions. Yet, the skills of formula simplifications, identification of patterns, and direct application techniques enormously enhance accuracy. A good understanding of permutation and combination principles is essential in resolving probability, seating arrangement, and intricate counting questions in the CSS Competitive Exam.
How to Prepare for Permutation Combination MCQs
In order to perform well in Permutation Combination MCQs, aspirants must practice arrangement-based questions, group choice questions, and combinations related to probability. Knowing major formulas like nPr = n! / (n-r)! for permutations and nCr = n! / [r!(n-r)!] for combinations facilitates easy calculation. Practice with CSS past papers, using Free Flashcards, and solving online quizzes boosts speed and accuracy. Knowledge of permutations and combinations of real-life problems in probability, scheduling, and decision-making makes the concept clear. Practice quizzes and shortcut techniques guarantee improved accuracy and a high score in the CSS Competitive Exam.
How many ways can 5 books be arranged on a shelf?
a) 120
b) 60
c) 24
d) 30
In how many ways can 3 people be seated in a row of 3 chairs?
a) 6
b) 9
c) 12
d) 3
How many ways can 7 different books be chosen from a collection of 10 books?
a) 120
b) 210
c) 330
d) 1200
In how many ways can 4 letters be chosen from 6 letters?
a) 15
b) 20
c) 30
d) 40
How many different permutations can be made from the letters of the word “MATH”?
a) 24
b) 12
c) 36
d) 48
How many ways can you arrange the letters of the word “BOOK”?
a) 12
b) 24
c) 48
d) 36
How many different ways can 4 people be seated around a circular table?
a) 24
b) 12
c) 30
d) 6
In how many ways can a committee of 4 people be selected from 10 people?
a) 210
b) 120
c) 3024
d) 5040
How many ways can 3 prizes be distributed among 5 students?
a) 60
b) 100
c) 120
d) 10
How many different 4-letter words can be formed from the letters of the word “TRAIL”?
a) 120
b) 60
c) 24
d) 12
How many ways can you arrange the letters in the word “LEVEL”?
a) 30
b) 60
c) 120
d) 12
How many different ways can 4 people be arranged in a line?
a) 24
b) 12
c) 6
d) 30
In how many ways can you choose 2 items from 8 items?
a) 28
b) 56
c) 36
d) 12
How many ways can you arrange 5 different books on a shelf if 2 specific books must be together?
a) 120
b) 240
c) 144
d) 60
How many ways can 5 students be seated in a row of 5 chairs?
a) 120
b) 60
c) 24
d) 1200
How many distinct arrangements can be made from the letters of the word “MATH”?
a) 24
b) 36
c) 12
d) 48
How many ways can 2 people be selected from a group of 8 people?
a) 56
b) 28
c) 36
d) 120
In how many ways can 3 out of 5 different books be selected and arranged on a shelf?
a) 60
b) 120
c) 30
d) 20
How many ways can 4 different books be chosen from 7 books?
a) 35
b) 84
c) 126
d) 210
In how many ways can 3 people be chosen from a group of 6?
a) 20
b) 15
c) 10
d) 30
How many permutations are possible with the letters of the word “APPLE”?
a) 60
b) 120
c) 24
d) 30
How many ways can 3 different prizes be distributed among 7 students?
a) 210
b) 420
c) 35
d) 5040
How many different 3-letter codes can be formed from the letters of the word “JAVA?
a) 12
b) 24
c) 30
d) 20
How many ways can 4 different items be selected from 10 items?
a) 210
b) 5040
c) 120
d) 126
How many ways can you arrange the letters of the word “BANANA”?
a) 60
b) 120
c) 30
d) 10
How many ways can 2 letters be selected from the set {A, B, C, D, E}?
a) 10
b) 20
c) 15
d) 30
How many ways can 5 people be seated around a round table?
a) 120
b) 24
c) 30
d) 60
How many different ways can you arrange 4 letters from the word “SCHOOL”?
a) 360
b) 120
c) 240
d) 720
In how many ways can you arrange the letters of the word “SUCCESS”?
a) 5040
b) 1260
c) 720
d) 420
How many different 3-letter words can be formed from the letters of the word “DREAM”?
a) 60
b) 30
c) 24
d) 36
How many ways can 5 people be arranged in a row if 2 specific people must be together?
a) 120
b) 240
c) 360
d) 720
How many ways can 3 items be chosen from a set of 5 items?
a) 10
b) 15
c) 20
d) 30
How many permutations can be made with the letters of the word “COMPUTER”?
a) 40320
b) 5040
c) 720
d) 840
How many ways can 2 books be chosen from a shelf of 8 books?
a) 28
b) 56
c) 36
d) 8
In how many ways can 5 different cards be drawn from a deck of 52 cards?
a) 2598960
b) 15504
c) 120
d) 720
How many ways can you choose 4 students from a class of 15?
a) 1365
b) 455
c) 105
d) 3003
How many ways can you arrange 2 letters from the word “BANANA”?
a) 12
b) 30
c) 15
d) 20
How many different ways can 6 books be arranged on a shelf if 3 books must be together?
a) 360
b) 720
c) 120
d) 600
How many ways can you choose 2 different flavors of ice cream from 10 available flavors?
a) 45
b) 55
c) 90
d) 100
How many ways can you distribute 3 identical candies to 4 different children?
a) 20
b) 24
c) 15
d) 10
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