Question # 1

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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A card is drawn from a pack of cards numbered 1 to 52, the probability that the number on the card is a perfect square is

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1/13

2/13

7/52

None of these

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

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90

45

55

50

The number of permutation that can be formed from the letters of the word OBJECT is

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700

600

720

620

Two coins are tossed twice each. The probability that the head appears on the first toss and the same forces appear in the two tosses is

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1/4

1/2

1/3

1/7

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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

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5

10

20

30

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

If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

The sample space for tossing a coin twice is

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{H, T}

{HH, HT, TH, TT}

{H, T, HH}

{HH, HT, TT}

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A committee consists of 9 experts taken from three institutions A, B, and C, of which 2 are from, A, 3 form B and 4 from C. If three experts resign, then the probability that they belong to different institutions is

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1 / 729

1 / 24

1 / 21

2 / 7

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

8 . 7 . 6. 5 in factorial form is

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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

Product of any n consecutive positive integers is divisible by

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n

√n

n!

None

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

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

A sequence is a function whose domain is

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N

Subset of N

R

None of these

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

6! = ______

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360

720

6.5.4

None of these

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

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

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Number of combination of zero or more things out of n different things

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nPn

nPr

nCr

2n

Form a group of 5 men and 3 women, a committee of 4 persons is to be selected randomly. The probability that there is a majority of men is

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1/4

1/3

1/2

1/6

probability of a certain event is

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0

-1

1

∞

If A and B are two disjoint events then

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P(A∪B)=P(A)+P(B)

P(A∪B)=P(A)-P(A∪B)

P(A∪B)=P(A)or P(B)

None

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ECAT Pre General Science Mathematics Chapter 9 Permutation, Combination & Probability Online Test MCQs With Answers

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