Question # 1

A key ring is an example of

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Permutation

Circular permutation

Combination

None

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

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

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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

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

The sum of all positive integral multiple of 5 less than 100 is

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950

760

1230

875

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

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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

An event having more than one sample point is called

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Certain event

Compound event

Simple event

None

If for two events A and B , P(A∪B)=1,then events A and B are

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Certain events

Mutually exclusive

Complementary events

Independent

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1.5

1.2

8

None of these

Probability of an impossible event is

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0

-1

1

∞

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0.9

0.74

0.2016

None of these

How many arrangements of the letter of the word PAKPATTAN can be made

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

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If n is a negative integer n! is

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1

0

Unique

Not defined

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

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

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Riaz, Saba. Maria, Shehzad are to give speeches in a class. The teacher can arrange the order of their presentation in

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4 ways

12 ways

256 ways

24 ways

Number of selections of n different things out of n

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1

nPr

n!

nPr

All letters of the word "AGAIN" are permuted in all possible ways and the words so formed (with or without meaning) are written as in dictionary, then the 50th word is

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NAAGI

NAAIG

IAANG

INAGA

A box contains 10 red 30 white and 20 black marbles When a marble is drawn at random the probability that it is either red or white is

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1/6

1/3

1/2

2/3

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

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!

In a 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

60

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

n!/(n-1)!=

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n

n!

(n-1)!

0!

The probability that a slip of number divisible by 4 is picked from the slips bearing numbers 1, 2, 3, ...10 is

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1/5

1/4

1/3

1/2

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

The probability to get an odd number in a dice thrown once is

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1/2

1/6

1/3

2

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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0

20

90

80

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

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