Permutation and Combination Test 3

Welcome to your Permutation and Combination Test 3

Question No. 1

In a simultaneous throw of two dice, what is the probability of getting a total of (7)?

E. None of these

Question No. 2

There are 2 blue, 1 yellow and 8 green caps in a bag. If one cap is picked at random, what is the probability that it is either blue or yellow?

A. 3/7

B. 2/5

C. 1/4

D. 7/8

E. None of these

Question No. 3

The letters of the word ‘PROBABILITY’ are arranged in all possible ways. The chance that two B’s and also two I’s occur together is

A. 1/55

B. 2/55

C. 4/165

D. Cannot be Determined

E. None of these

Question No. 4

A bag contains 8 pink, 7 green and 5 black balls. If 2 balls are drawn at random, then what is the probability that only one ball is green?

A. 61/190

B. 21/190

C. 91/190

D. 83/190

E. None of these

Question No. 5

A dice is thrown once. Find the probability of getting a number greater than 4.

A. 2/3

B. 1/3

C. 1/2

D. 3/2

E. None of these

Question No. 6

What is the probability that a leap year, selected at random, will contain 53 Sundays?

A. 52/365

B. 52/366

C. 2/7

D. 5/7

E. 1/7

Question No. 7

From a deck of 52 cards, 4 cards are drawn. What is the probability that out of these four cards, two are kings and two are queens?

A. 18/270725

B. 1/10811

C. 36/270725

D. 1/270725

E. 3/54145

Question No. 8

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

A bag contains 12 two rupee coins, 7 one rupee coins and 4 half rupee coins. If 3 coins are selected at random, then

Quantity A: Probability that the sum of the three coins is maximum.

Quantity B: Probability that each coin is of different value.

A. Quantity A > Quantity B

B. Quantity A < Quantity B

C. Quantity A ≥ Quantity B

D. Quantity A ≤ Quantity B

E. Quantity A = Quantity B OR relationship cannot be determined.

Question No. 9

Quantity A: Probability that at least 3 will be an outcome when a fair dice is thrown once.Quantity B: Probability that an even number will be the sum of outcomes when a fair dice is thrown twice.

A. Quantity A > Quantity B

B. Quantity A < Quantity B

C. Quantity A ≥ Quantity B

D. Quantity A ≤ Quantity B

E. Quantity A = Quantity B OR relationship cannot be determined.

Question No. 10

Out of 5 men and 3 women, a committee of 3 persons is to be formed. In how many ways can it be formed selecting at least 2 women?

A. 15

B. 16

C. 21

D. 35

E. 56

Question No. 11

In how many can the word “SYRIA” be arranged so that all vowel comes together?

A. 48 ways

B. 96 ways

C. 100 ways

D. 140 ways

E. None of these

Question No. 12

An automobile dealer provides cars in 3 models and 7 different colors each. Find the number of choices open to a customer.

A. 48

B. 24

C. 14

D. 28

E. None of these

Question No. 13

In how many ways the letters of the word ‘INSTITUTE’ can be arranged?

A. 20,080

B. 18,220

C. 30,240

D. 17,190

E. None of these

Question No. 14

For how many integers between 10 and 100 in the tens digit equal to 5, 6 or 7 and the units digit (ones digit) equal to 2, 3, 4 ?

A. three

B. four

C. six

D. nine

E. None of these

Question No. 15

If ⁿp₄ = 10 × ^n-1p₂, find the value of n = ?

A. 5

B. 4

C. 10

D. 12

E. None of these

Permutation and Combination Test 3

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