Question # 1

The number of words that can be formed out of the letters of the word ASSASSINATION is

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

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The domain of an infinite sequence is a

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Set of natural numbers

R

Subset of N

None of the above

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

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24

4

12

6

All letters of the word "AGAIN" are permuted in all possible ways and the words so formed (with or without meaning) are written as in dictionary, then the 50th word is

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NAAGI

NAAIG

IAANG

INAGA

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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

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

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

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A dice is rolled. The probability that the dots on the top are greater than 4 is

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1/6

1/3

1/2

1

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

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

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>0

1

<1

0

The sample space for tossing a coin once is

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{T, T}

{H, H}

{H, T}

None of these

The factorial of a positive integers is a (an)

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Rational number

Positive integer

Real number

None

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

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90

45

55

50

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n!

0!

1

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!

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

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 coin is tossed. If head comes up, a die is thrown but if tail comes up, the coin is tossed again. The probability of obtaining a head and an even number is

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1/8

2/8

3/8

None of these

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

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56

7

8

8/7

A committee consists of 9 experts taken from three institutions A, B, and C, of which 2 are from, A, 3 form B and 4 from C. If three experts resign, then the probability that they belong to different institutions is

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1 / 729

1 / 24

1 / 21

2 / 7

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

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

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nPn

nPr

nCr

2n

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0

-1

1

2

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

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700

600

720

620

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

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

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