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Permutations and Combinations MCQs

Free 47+ Permutations and Combinations MCQs for PPSC, FPSC, NTS, and Pakistan government job tests. Practise below with answers and explanations.

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Permutations and Combinations — MCQs for Pakistan government job tests

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Permutations and Combinations

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1.Three flags, each of a distinct color, are used in a military drill to create different signaling codes by waving: I. A single flag of any color II. Any two flags in a specific order III. All three flags in various sequences What is the maximum number of unique codes that can be formed?

2.A question paper contains five problems, each with three internal options. In how many different ways can a candidate attempt at least one problem by choosing one option per problem?

3.There are 20 male students and 25 female students in a class. How many different pairs consisting of one boy and one girl can be formed?

4.How many different ways can you choose three consonants and two vowels from the letters in the word "TRIANGLE"?

5.A container holds 9 yellow balls, 3 white balls, and 4 red balls. How many different ways can you select two balls from this collection?

6.Using the digits {1, 2, 3, 5, 7, 9}, how many distinct four-digit even numbers can be created?

7.Using the digits {1, 3, 4, 5, 7, 9} without repeating any digit, how many unique four-digit numbers can be created?

8.In how many different ways can six boys and six girls be arranged in a single row for a photograph such that no two girls are seated next to each other?

9.A lock features three rotating rings, each displaying six unique letters. What is the maximum number of failed attempts possible before the lock opens?

10.A committee consists of 5 men and 6 women. How many different ways can a team of eight members be chosen from this committee?

11.How many different ways can you choose 3 men and 2 women if it is required that a specific man and a specific woman are included in the selection?

12.A group consists of 5 males and 6 females. How many different ways can you choose 2 males and 3 females from this group?

13.How many distinct arrangements can be formed using all the letters in the word 'MESMERISE'?

14.How many different arrangements can be made using the letters of the word MEADOWS such that all vowels are positioned only in the even-numbered slots?

15.How many distinct words can be created using all the letters of the word "NOKIA" such that the word starts with 'N' and ends with 'A'?

16.How many distinct arrangements can be created using every letter in the word "THURSDAY"?

17.Using the letters from the word 'TIME', how many distinct three-letter arrangements can be created?

18.A boy owns 9 pairs of trousers and 12 shirts. How many unique combinations can he make by choosing one trouser and one shirt?

19.In a gathering of 30 individuals, if each person shakes hands with every other person exactly once, how many handshakes will occur?

20.How many distinct arrangements of the letters in the word 'OPTICAL' can be made if all the vowels must be grouped together?

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