## 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! 8!

C: 4! 4!

D: 3! 4! 8! 4!

**Question:**

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

A: 60

B: 240

C: 120

D: 600

**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: 7560,60,1680

B: 7890,120,650

C: 7650,200,4444

D: None

**Question:**

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

A: 8*9!

B: 7*9!

C: 9*8!

D: 8*8!

**Question:**

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

A: 144

B: 12

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: 11

B: 12

C: 14

D: 13

**Question:**

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

A: 190

B: 390

C: 240

D: 180

**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: 15

C: 30

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: 11340

B: 12750

C: 40

D: 320

**Question:**

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

A: 8

B: 24

C: 56

D: 16

**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: 116

B: 140

C: 20

D: 120

**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: 14

D: 25

**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: 1200

B: 1630

C: 1600

D: 1500

**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: 65

B: 69

C: 67

D: 68

**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: None

C: 12

D: 256

**Question:**

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

A: 20

B: 21

C: 24

D: 22

**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: 240

C: 242

D: 275

**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: None

D: 18! ×2! × 1440

**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: 30240

B: 69760

C: 99748

D: 42386

**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: 360

B: 470

C: 384

D: 432

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