Question # 1

Two cards are drawn at random from a well shuffled pack of cards. The probability that at least one of them is a face card is

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3 / 17

5 / 17

7 / 17

9 / 17

How many necklaces can be made from 6 beads of different colours?

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120

60

24

15

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

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)!

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Number of selections of n different things out of n

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1

nPr

n!

nPr

A key ring is an example of

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Permutation

Circular permutation

Combination

None

There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is

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7 / 25

9 / 25

11 / 25

None of these

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0

-1

1

2

n!/(n-1)!=

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n

n!

(n-1)!

0!

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1.5

1.2

8

None of these

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

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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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8

1/56

56

None of these

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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120

5

4

6

The factorial of a positive integers is a (an)

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Rational number

Positive integer

Real number

None

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)

In school there are 150 students Out of these 80 students enrolled for mathematics class 50 enrolled for English class and 60 enrolled for Physics class The student enrolled for English cannot attend any other class but the students of mathematics and Physics can take two courses at a time Find the number of students who have taken both physics and mathematics.

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40

30

50

20

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

A die is rolled. What is the probability that the dots on the top are greater than 4?

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1/4

1/2

1/3

1/33

The sample space for tossing a coin once is

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{T, T}

{H, H}

{H, T}

None of these

How many signals can be given by 5 flags of different colours, using 3 flags at a time

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120

60

24

15

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

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1 / 2

1 / 3

1 / 4

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!

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

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5

10

20

30

For two events A and B if P(A) = P (A/B) = 1/4 and P(B/A) = 1/2, then

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A is sub-event of B

A and B are mutually exclusive

A and B are independent and P(A/B) = 3/4

None of these

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

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