Question # 1

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

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24

4

12

6

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1 / 2

1 / 3

1 / 4

None of these

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

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!

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

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

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The sum of all odd numbers between 100 and 200 is

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6200

7500

6500

3750

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

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5 / 12

3 / 8

5 / 8

7 / 4

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n different objects can be arranged taken all at a time in ______

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(n + 1)! ways

(n - 1)! ways

n! ways

n ways

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

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

Fifteen girls compete in a race. The first three places can be taken by them in

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3! ways

12! ways

15 x 14 x 13 ways

42 ways

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

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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

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8

1/56

56

None of these

The factorial of a positive integers is a (an)

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Rational number

Positive integer

Real number

None

The probability to get an odd number in a dice thrown once is

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1/2

1/6

1/3

2

If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is

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50

25

10

100

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0

20

90

80

nCn-r is equal to

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n!

n-1Cr

nCr

None of these

In a class of 100 students, 60 drink tea, 50 drink coffee and 30 drink both. A student from his class is selected at takes at last one of 2 drinks is

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2 / 5

3 / 5

4 / 5

None of these

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An unbiased die is thrown. Then the probability of getting a prime is

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1/2

2/3

3/4

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!

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5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is

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1 / 32

31 / 32

1 / 16

None of these

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

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nPn

nPr

nCr

2n

If n is a positive integer then n! is

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(n - 1) (n - 2) .....3,.2.1

n(n - 1) (n - 2) ...3.2.1

n(n - 1 ) ( n -2) ... 3

None of these

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

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