Question # 1

n different objects can be arranged taken all at a time in ______

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(n + 1)! ways

(n - 1)! ways

n! ways

n ways

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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3

6

0

None of these

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0.9

0.74

0.2016

None of these

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1 / 2

1 / 3

1 / 4

None of these

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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n(n - 1) (n - 2) in factorial form is

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The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 but using each not more than once in each number is

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260

356

410

96

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

If A is an event then which of the following is true

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P(A)<0

0≥P(A)≤1

P(A)>0

None

How many 3 digit numbers can be formed by using each one of the digit 2, 3, 5, 7, 9 only once?

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15

24

60

120

Probability of an impossible event is

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0

-1

1

∞

An event having more than one sample point is called

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Certain event

Compound event

Simple event

None

A key ring is an example of

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Permutation

Circular permutation

Combination

None

How many signals can be given by 5 flags of different colours, using 3 flags at a time

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120

60

24

15

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 two balls are drawn from a bag containing 3 white, 4 black and 5 red balls. Then the probability that the drawn balls are of different colours is

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1 / 66

3 / 66

19 / 66

47 / 66

A die is rolled. What is the probability that the dots on the top are greater than 4?

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1/4

1/2

1/3

1/33

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110

220

1320

None of these

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For two events A and B if P(A) = P (A/B) = 1/4 and P(B/A) = 1/2, then

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A is sub-event of B

A and B are mutually exclusive

A and B are independent and P(A/B) = 3/4

None of these

A machine operates if all of its three components function. The probability that the first component fails during the year is 0.14, the second component fails is 0.10 and the third component fails is 0.05. the probability that the machine will fail during the year is

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0.2647

0.2692

0.3647

None of these

n!/(n-1)!=

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n

n!

(n-1)!

0!

How many terms of the A.P 3,6,9,12,15...........must be taken to make the sum 108

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8

6

7

36

How many arrangements of the letters of the word PAKISTAN cab be made

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A class contains nine boys and three girls, in how many ways can the teacher choose a committee of four?

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460

495

272

60

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5

10

20

30

An integer is chosen at random from the number ranging from 1 to 50. the probability that the integer chosen is a multiple of 2 or 3 or 10 is

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3 / 10

5 / 10

7 / 10

9 / 10

0! = ______

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0

1

2

Not defined

The factorial of a positive integers is a (an)

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Rational number

Positive integer

Real number

None

The sum of all even numbers less than 100 is

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2450

2352

2272

2468

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

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