Question # 1

How many arrangements of the letters of the word MI SSI PPI, taken all together can be made?

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n!

0!

1

None of these

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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

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

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

When a selection of object is made without paying regard to the order of selection, it is called

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Sequence

Series

Combination

Permutation

The number of the diagonals of a 6 sided figure is

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15

21

9

6

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 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

8 . 7 . 6. 5 in factorial form is

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How many comittees of 5 numbers can be chosen from a group of 8 players person when each committee must include 2 particular persons

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8!

5!3!

5!

20

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

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

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

n!/(n-1)!=

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n

n!

(n-1)!

0!

If A is an event then which of the following is true

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P(A)<0

0≥P(A)≤1

P(A)>0

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 sample space for tossing a coin twice is

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{H, T}

{HH, HT, TH, TT}

{H, T, HH}

{HH, HT, TT}

Probability of an impossible event is

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0

-1

1

∞

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

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

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56

7

8

8/7

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

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

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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

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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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

nCn-r is equal to

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n!

n-1Cr

nCr

None of these

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

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

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