Question # 1

There are n seats round a table numbered 1, 2, 3 .... n. The number of ways in which m person can take seats is

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ⁿP_m

ⁿC_mx (m - 1) !

^n-1P_m

None of these

An experiment yields 3 mutually exclusive and exhaustive events A, B, C, if P(A) =2 and P(B) = 3. then P(C) =

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1 / 11

2 / 11

3 / 11

6 / 11

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56

7

8

8/7

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

The number of ways of arranging the letter AAAAA BBB CCC D EE F in a row when no two C's are together is

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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

Cycle tyres are supplied in lots of 10 and there is a chance if 1 in 500 tyres to be defective. Using Poisson distribution, the approximate number of lots containing no defective tyre in a consignment of 10, 0000 lots is

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9028

9208

9802

9820

A key ring is an example of

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Permutation

Circular permutation

Combination

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!

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

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950

760

1230

875

Which one is not defined∀n∈Z+

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-n!

n!

(-n)!

n!+0!=n!+1

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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

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0.9

0.74

0.2016

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

A bag contains 7 whit, 5 black and 4 rd balls. If two balls are drawn at random from the bag, the probability that they are not of the same color is

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73 / 120

83 / 120

67 / 120

43 / 120

A card is drawn from a pack of cards numbered 2 to 53. the probability that the number on the card is prime number less than 20 is

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2 / 13

4 / 13

5 / 13

8 / 13

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

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90

45

55

50

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

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

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3

6

0

None of these

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

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nPn

nPr

nCr

2n

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

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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

The domain of a finite sequence is a

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Set of natural numbers

R

Subset of N

Proper subset of N

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

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

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

What is the probability of being born on Wednesday?

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1/7

1/2

1/3

1/8

A box containing 10 mangoes out of which 4 are rotter. Two mangoes are taken together from the box. If one of them is found to be good, the probability that the other is also good is

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1 / 3

8 / 15

5 / 13

5 / 9

(n + 2) (n + 1) n= ______

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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

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

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

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