Question # 1

Product of any n consecutive positive integers is divisible by

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n

√n

n!

None

A key ring is an example of

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Permutation

Circular permutation

Combination

None

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0

20

90

80

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

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24

4

12

6

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

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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

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

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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

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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

A and B throw a dice. The probability that A's throw is not greater then B's is

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5 / 12

7 / 12

1 / 6

1 / 2

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

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9. 8. 7. 6= ______

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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

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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56

7

8

8/7

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

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}

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

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5

10

20

30

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

The key for opening a door is in a bunch of 10 keys. A man attempts to open the door by trying the keys at random discarding the wrong key. The probability that the door is opened in the 5th trial is

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1 / 10

2 / 10

3 / 10

4 / 10

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

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90

45

55

50

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

The factorial of a positive integers is a (an)

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Rational number

Positive integer

Real number

None

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

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

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

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Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is

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3! P(n, r - 3)

P(n, 3) P(n, r - 3)

P(r, r)P(n, r - 3)

P(n - 3, r)

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

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