Question # 1

How many arrangements of the letters of the word ADDING can be made

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Number of selections of n different things out of n

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1

nPr

n!

nPr

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0

-1

1

2

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How many different 5-digit even numbers are possible form digit 1,2,4,6,8

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4 : 4!

4!

5!

4!+4!

Two cards are drawn at random without replacement. the probability that the first is a king and second is not a king is

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48 / 663

24 / 663

12 / 663

None of these

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

The probability that a person A will be alive 15 years hence is 5/7 and the probability that another person B will be alive 15 years hence is 7/9. Find the probability that both will be alive 15 years hence

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4/63

5/9

45/49

None of these

Three dice are thrown together. The probability of getting a total of at least 6 is

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103 / 108

10 / 216

93 / 108

None of these

Two balanced dice are tossed once, the sample space when the integers on the faces of two dice are the same is

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{(1, 1), (2, 2), (3, 3)}

{(4, 4), (5, 5), (6, 6)}

{(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)}

None of these

A sequence is a function whose domain is

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N

Subset of N

R

None of these

The value of n, when ⁿP₂= 20 is

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3

4

6

5

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5

20

9

4

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

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>0

1

<1

0

Out of 40 consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is

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14 / 29

20 / 39

1 / 2

n

An unbiased die is thrown. Then the probability of getting a prime is

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1/2

2/3

3/4

None of these

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56

7

8

8/7

The number of combinations of 10 different objects taken 8 objects at a time is

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90

45

55

50

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

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>0

1

<1

0

In how many ways can 5 persons be seated at a round table

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5!

4!

3!

120

How many comittees of 5 numbers can be chosen from a group of 8 players person when each committee must include 2 particular persons

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8!

5!3!

5!

20

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

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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

The probability of getting a number between 1 and 100 which is divisible by 1 and itself if only is

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1 / 4

1 / 2

3 / 4

25 / 98

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

There are 16 point in a plane, in which 6 are collinear. how many lines can be drawn by joining these points?

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10

66

71

106

The number of the diagonals of a 6 sided figure is

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15

21

9

6

If n is a positive integer then n! is

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(n - 1) (n - 2) .....3,.2.1

n(n - 1) (n - 2) ...3.2.1

n(n - 1 ) ( n -2) ... 3

None of these

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

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120

5

4

6

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

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