A basket has 3 identical apples, 4 identical oranges and 2 identical mangoes. In how many ways can at least one fruit be selected?
Correct answer C. 59
Topic / 59 questions
Permutation and Combination MCQs
Permutation and Combination MCQs test counting skills: how many ways objects can be arranged when order matters, and how many groups can be chosen when it does not. Questions include word arrangements, committee selection and forming numbers from digits. They help NTS, GAT, SSC and banking candidates, and each question has an instant answer.
- Numbers 104
- Percentage 103
- Age Questions 95
- Profit and Loss 82
- Ratio and Proportion 80
- Time and Work 73
- Alligation or Mixture 73
- Fraction and Decimal 72
- Compound Interest 71
- Simple Interest 69
- Area 64
- Volume and Surface Area 64
- Equations and Inequalities 64
- Time and Distance 64
- Simplification 60
- Permutation and Combination 59
- Average 59
- Basic Algebra 58
- Pipes and Cistern 57
- Partnership 56
- Square Root and Cube Root 51
- Problems on Numbers 47
- Probability 45
- Problems on Trains 44
- Odd Man Out and Series 43
- Surds and Indices 43
- Clock 39
- Races and Games 38
- Height and Distance 37
- True Discount 36
- Stocks and Shares 34
- Boats and Streams 34
- Banker's Discount 32
- Counting 32
- Logarithm 30
- Problems on H.C.F and L.C.M 30
- Calendar 30
- Road Problems 26
- Word Problems 25
- Men and Food 24
In how many ways can 5 men and 5 women sit around a round table so that men and women sit alternately?
Correct answer B. 2880
A club has 12 members. In how many ways can a president, a secretary and a treasurer be chosen if no member holds two posts?
Correct answer C. 1320
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How many 3-digit numbers can be formed from the digits 0, 1, 2, 3, 4 and 5 if no digit is repeated?
Correct answer C. 100
In how many ways can a committee of 5 be formed from 9 people if one particular person must not be included?
Correct answer C. 56
How many 4-digit numbers can be formed using the digits 1 to 7 if no digit is repeated?
Correct answer D. 840
There are 12 points in a plane, of which exactly 5 lie on one straight line and no other three are collinear. How many triangles can be formed using these points as vertices?
Correct answer C. 210
How many straight lines can be drawn through 10 points in a plane if no three of them are collinear?
Correct answer C. 45
A convex polygon has 54 diagonals. How many sides does it have?
Correct answer D. 12
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How many diagonals does a decagon (a polygon with 10 sides) have?
Correct answer B. 35
At a party, every guest shook hands once with every other guest and there were 66 handshakes in all. How many guests were at the party?
Correct answer A. 12
At a meeting, each of 15 people shakes hands once with every other person. How many handshakes take place?
Correct answer A. 105
In how many ways can 6 friends sit around a circular table if two particular friends must always sit together?
Correct answer B. 48
In how many ways can 8 different beads be strung into a necklace?
Correct answer D. 2520
In how many ways can 7 people be seated around a round table?
Correct answer B. 720
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A group of 4 is to be chosen from 9 people, but two particular people refuse to be in the group together. In how many ways can the group be chosen?
Correct answer D. 105
A team of 4 is to be selected from 8 players so that 2 particular players are always included. In how many ways can the team be selected?
Correct answer D. 15
How many 3-digit even numbers can be formed using the digits 1, 2, 3, 4, 5 and 6 without repetition?
Correct answer D. 60
How many 4-digit numbers greater than 5000 can be formed using the digits 2, 4, 5, 7 and 8 without repetition?
Correct answer B. 72
In a league, each of 10 teams plays every other team twice, once at home and once away. How many matches are played in total?
Correct answer B. 90
About Permutation and Combination MCQs
This set covers the classic counting problems used in aptitude tests. You will arrange the letters of words such as LEADING, OPTICAL, CORPORATION and MATHEMATICS with vowels kept together or in fixed positions, adjusting for repeated letters. Committee questions ask how many ways to choose a group with a minimum number of men or women, which needs combinations added across cases. Digit problems ask how many three-digit numbers divisible by 5 can be formed without repetition. Knowing when to multiply, when to add and when to divide by repeated factorials is the core skill.
Exams that include Permutation and Combination MCQs
Pakistan
- NTS
- GAT
- FPSC
- ECAT
India
- SSC CGL
- IBPS PO
- SBI PO
- Campus placements
Bangladesh
- Bank job exams
- BCS
Frequently asked questions
What is the difference between a permutation and a combination?
A permutation counts arrangements where order matters, such as seating people in a row. A combination counts selections where order does not matter, such as choosing a committee. For the same items, there are always at least as many permutations as combinations.
Last reviewed October 2026