Permutations & Combinations Practice Test (Chapter-8): 100 MCQs for Competitive Exams in India

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Permutations and Combinations Mock Test-2

20 MCQs
20 Marks
30 Minutes

1 / 20

A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?

2 / 20

A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?

3 / 20

In a city with 7 bridges, each bridge connects a different pair of islands. If you want to take a tour, starting and ending at the same island, without crossing any bridge more than once, how many different tours are possible?

4 / 20

How many ways can you arrange the letters in the word "MISSISSIPPI"?

5 / 20

In a chess tournament, there are 10 players. How many different ways can the top 3 players be awarded gold, silver, and bronze medals?

6 / 20

How many ways can you arrange the letters in the word "CHAIR"?

7 / 20

A box contains three white balls, four black balls and three red balls. The number of ways in which three balls can be drawn from the box so that at least one of the balls is black is

8 / 20

How many ways can you arrange the letters in the word "APPLE"?

9 / 20

A polygon has 44 diagonals. What is the number of its sides?

10 / 20

You have 8 different colored marbles, and you want to pick 3 of them. How many different combinations of 3 marbles can you choose?

11 / 20

A pizza menu offers 5 different toppings, and you can choose up to 3 toppings for your pizz

12 / 20

In how many ways 11 identical toys be placed in 3 distinct boxes such that no box is empty?

13 / 20

In a class of 20 students, how many different committees of 4 students can be formed?

14 / 20

How many different ways can you distribute 12 identical candies among 4 children, such that each child receives at least one candy?

15 / 20

How many different four-digit numbers can be formed using the digits 1, 2, 3, 4, 5, and 6, without repetition, and where the number is divisible by 4?

16 / 20

In how many ways can you choose a president, vice-president, and treasurer from a group of 10 people?

17 / 20

A restaurant offers a menu with 10 appetizers, 12 main courses, and 8 desserts. How many different three-course meals (one appetizer, one main course, and one dessert) can you create?

18 / 20

In a deck of 52 playing cards, how many different five-card poker hands can be formed that contain exactly two red cards and three black cards?

19 / 20

In how many ways can you arrange the letters of the word "ALGORITHM" such that no two 'G's are adjacent?

20 / 20

How many ways can you arrange the letters in the word "MATH"?

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