Question # 1

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

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3

6

0

None of these

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36

360

24

6

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

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120

60

24

15

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

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nPn

nPr

nCr

2n

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

Two cards are drawn at random from a well shuffled pack of cards. The probability that at least one of them is a face card is

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3 / 17

5 / 17

7 / 17

9 / 17

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

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 domain of a finite sequence is a

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Set of natural numbers

R

Subset of N

Proper subset of N

How many terms of the A.P 3,6,9,12,15...........must be taken to make the sum 108

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8

6

7

36

A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is

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50

25

10

100

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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

The sum of all odd numbers between 100 and 200 is

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6200

7500

6500

3750

Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then the men select the chairs from amongst the remaining. The number of possible arrangement is

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⁶C₃x ⁴C₂

⁴C₂x ⁴P₃

⁴P₂x ⁶P₃

None of these

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Which one is not defined∀n∈Z+

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-n!

n!

(-n)!

n!+0!=n!+1

The number of the diagonals of a 6 sided figure is

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15

21

9

6

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

How many 6-Digit number can be formed without repairing any digit from the digits 0,1,2,3,4,5

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720

600

120

6-5!

Number of ways of writing the letters of WORD taken all at a time is

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24

4

12

6

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

The probability that the sum of dots appearing in two successive thrown of two dice, in every time 7 is

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1/5

1/36

1/7

1/63

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

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

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8 . 7 . 6. 5 in factorial form is

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The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is

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72

48

144

20

A die is thrown, the probability that the dots on the top are prime numbers or odd numbers is

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1/2

2/3

1/3

2/5

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

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