Question # 1

9. 8. 7. 6= ______

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

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The factorial of a positive integers is a (an)

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Rational number

Positive integer

Real number

None

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

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950

760

1230

875

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

Number of selections of n different things out of n

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1

nPr

n!

nPr

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If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

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

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700

600

720

620

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

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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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

A key ring is an example of

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Permutation

Circular permutation

Combination

None

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0

20

90

80

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110

220

1320

None of these

probability of a certain event is

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0

-1

1

∞

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

What is the probability of being born on Wednesday?

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1/7

1/2

1/3

1/8

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

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How many necklaces can be made from 6 beads of different colours?

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120

60

24

15

Probability of an impossible event is

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0

-1

1

∞

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

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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0

-1

1

2

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

Arithmetic mean between 14 and 18 is

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16

17

15

32

5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is

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1 / 32

31 / 32

1 / 16

None of these

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

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