## Permutation And Combination IQ Test Quiz Instructions:

**20**.

## Permutation And Combination Quiz Test Questions and Options:

**Question:**

In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together?

A: 8! 4! 4!

B: 3! 4! 8! 4!

C: 3! 8!

D: 4! 4!

**Question:**

How many Permutations of the letters of the word APPLE are there?

A: 600

B: 60

C: 240

D: 120

**Question:**

How many different words can be formed using all the letters of the word ALLAHABAD?

(a) When vowels occupy the even positions.

(b) Both L do not occur together.

A: 7890,120,650

B: 7650,200,4444

C: None

D: 7560,60,1680

**Question:**

In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?

A: 7*9!

B: 8*9!

C: 8*8!

D: 9*8!

**Question:**

In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate.

A: 12

B: 144

C: 256

D: 288

**Question:**

A two member committee comprising of one male and one female member is to be constitute out of five males and three females. Amongst the females. Ms. A refuses to be a member of the committee in which Mr. B is taken as the member. In how many different ways can the committee be constituted ?

A: 12

B: 14

C: 13

D: 11

**Question:**

In how many ways 2 students can be chosen from the class of 20 students?

A: 390

B: 240

C: 180

D: 190

**Question:**

Three gentlemen and three ladies are candidates for two vacancies. A voter has to vote for two candidates. In how many ways can one cast his vote?

A: 9

B: 30

C: 15

D: 36

**Question:**

A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 from part B, in how many ways can he choose the questions?

A: 12750

B: 40

C: 320

D: 11340

**Question:**

Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.

A: 24

B: 56

C: 16

D: 8

**Question:**

There are 10 points in a plane out of which 4 are collinear. Find the number of triangles formed by the points as vertices.

A: 140

B: 120

C: 20

D: 116

**Question:**

In a party every person shakes hands with every other person. If there are 105 hands shakes, find the number of person in the party.

A: 15

B: 21

C: 25

D: 14

**Question:**

The number of positive integers which can be formed by using any number of digits from 0,1,2,3,4,5 without repetition.

A: 1600

B: 1500

C: 1630

D: 1200

**Question:**

If letters of the work KUBER are written in all possible orders and arranged as in a dictionary, then the rank of the word KUBER will be:

A: 67

B: 65

C: 68

D: 69

**Question:**

How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the prizes?

A: 24

B: 12

C: 256

D: None

**Question:**

Find the number of ways in which 8064 can be resolved as the product of two factors?

A: 22

B: 21

C: 20

D: 24

**Question:**

The letter of the word LABOUR are permuted in all possible ways and the words thus formed are arranged as in a dictionary. What is the rank of the word LABOUR?

A: 251

B: 275

C: 240

D: 242

**Question:**

A class photograph has to be taken. The front row consists of 6 girls who are sitting. 20 boys are standing behind. The two corner positions are reserved for the 2 tallest boys. In how many ways can the students be arranged?

A: 6! × 1440

B: 18! × 1440

C: 18! ×2! × 1440

D: None

**Question:**

Ten different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, the number of words which have at least one letter repeated is:

A: 99748

B: 69760

C: 42386

D: 30240

**Question:**

12 chairs are arranged in a row and are numbered 1 to 12. 4 men have to be seated in these chairs so that the chairs numbered 1 to 8 should be occupied and no two men occupy adjacent chairs. Find the number of ways the task can be done.

A: 470

B: 360

C: 432

D: 384

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