Question # 1

The number of permutations of n objects of which there are n₁like of one kind, n₂like of the second kind and n₃like objects of third kind are

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The factorial of a positive integers is a (an)

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Rational number

Positive integer

Real number

None

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5 / 12

3 / 8

5 / 8

7 / 4

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

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

The sample space for tossing a coin once is

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{T, T}

{H, H}

{H, T}

None of these

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

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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 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

If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

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P(A) + P(B)

P(A) - P(B)

P(A) . P(B)

P(A) / P(B)

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

In how many ways can 5 persons be seated at a round table

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5!

4!

3!

120

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

0! = ______

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0

1

2

Not defined

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

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A sequence is a function whose domain is

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N

Subset of N

R

None of these

6! = ______

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360

720

6.5.4

None of these

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

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

The sum if 1,3,5,7,9........ up to 20 terms is

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400

472

563

264

Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cars of the same suit is

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44/4165

22/4165

11/4165

None of these

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6

360

120

24

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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 combination lock on a suitcase has 3 wheels each labeled with nine digits from 1 to 9. If an opening combination is a particular sequence of three digits with no repeats, the probability of a person guessing the right combination is

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1 / 500

1 / 504

1 / 252

1 / 250

If two balls are drawn from a bag containing 3 white, 4 black and 5 red balls. Then the probability that the drawn balls are of different colours is

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1 / 66

3 / 66

19 / 66

47 / 66

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)!

Arithmetic mean between 14 and 18 is

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16

17

15

32

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ECAT Pre General Science Mathematics Chapter 9 Permutation, Combination & Probability Online Test MCQs With Answers

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