Question # 1

A key ring is an example of

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Permutation

Circular permutation

Combination

None

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

For a positive integer n

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n! = n(n + 1)

n! = n(n+1)!

n! = n(n - 1 )

n! = n(n - 1)!

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

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1/5

2/5

1/10

3/10

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

If S is a sample space and event set E = S then P(E) is

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>0

1

<1

0

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

How many 3 digit numbers can be formed by using each one of the digit 2, 3, 5, 7, 9 only once?

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15

24

60

120

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!

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0.9

0.74

0.2016

None of these

nCn-r is equal to

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n!

n-1Cr

nCr

None of these

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

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

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Number of selections of n different things out of n

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1

nPr

n!

nPr

Arithmetic mean between 14 and 18 is

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16

17

15

32

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

Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is

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1/12

1/6

5/12

7/12

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

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The value of n, when ⁿP₂= 20 is

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3

4

6

5

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

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

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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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If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

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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Two unbiased dice are thrown. The probability that the total score is > 5 is

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1 / 18

7 / 18

13 / 18

11 / 18

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

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

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

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