Question # 1

n(n - 1) (n - 2) .... (n - r + 1) = ______

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Out of 10, 000 families with 4 children each, the number of families all of whose children are daughters is

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375

500

625

150

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120

5

4

6

Given two independent event A and B such that P(A) = 0.30 and P(B) = 0.60. Probability of getting neither A nor B is

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0.28

0.13

0.12

0.42

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If S is a sample space and event set E =Φ then P(E) is

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>0

1

<1

0

Three unbiased coins are tossed. Then the probabilities of getting two heads is

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3/8

1/8

1/4

None of these

A bag contains 3 white, 4 black and 2 red balls. If 2 balls are drawn at random, then the probability that both the ball are white is

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1/18

1/12

1/36

None of these

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0.9

0.74

0.2016

None of these

Number of selections of n different things out of n

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1

nPr

n!

nPr

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36

360

24

6

What is the probability of being born on Wednesday?

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1/7

1/2

1/3

1/8

When a selection of object is made without paying regard to the order of selection, it is called

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Sequence

Series

Combination

Permutation

If n is a negative integer n! is

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1

0

Unique

Not defined

The domain of a finite sequence is a

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Set of natural numbers

R

Subset of N

Proper subset of N

Three integers are chosen at random from the first 20 integers. Then probability that their product is even, is

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2 / 19

3 / 29

17 / 19

4 / 19

Fifteen girls compete in a race. The first three places can be taken by them in

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3! ways

12! ways

15 x 14 x 13 ways

42 ways

A key ring is an example of

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Permutation

Circular permutation

Combination

None

In school there are 150 students Out of these 80 students enrolled for mathematics class 50 enrolled for English class and 60 enrolled for Physics class The student enrolled for English cannot attend any other class but the students of mathematics and Physics can take two courses at a time Find the number of students who have taken both physics and mathematics.

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40

30

50

20

Two unbiased dice are thrown. The probability that the total score is > 5 is

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1 / 18

7 / 18

13 / 18

11 / 18

If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

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1 / 2

1 / 3

1 / 4

None of these

For a positive integer n

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n! = n(n + 1)

n! = n(n+1)!

n! = n(n - 1 )

n! = n(n - 1)!

A bag contains 5 white, 7 red and 5 black balls. If four balls are drawn one by one with replacement, the probability that none is white is

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(11/16)²

(5/16)²

(11/16)⁴

(5/16)⁴

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The number of the diagonals of a 6 sided figure is

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15

21

9

6

The number of words that can be formed out of the letters of the word ASSASSINATION is

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The key for opening a door is in a bunch of 10 keys. A man attempts to open the door by trying the keys at random discarding the wrong key. The probability that the door is opened in the 5th trial is

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1 / 10

2 / 10

3 / 10

4 / 10

Five engineering, four mathematics, two chemistry books are placed on a table at random.The probability that the books of each kind are all together is

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6! = ______

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360

720

6.5.4

None of these

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ECAT Mathematics Chapter 9 Permutation, Combination and Probability Online Test MCQs With Answers

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