Question # 1

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

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0! = ______

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0

1

2

Not defined

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

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56

7

8

8/7

Cycle tyres are supplied in lots of 10 and there is a chance if 1 in 500 tyres to be defective. Using Poisson distribution, the approximate number of lots containing no defective tyre in a consignment of 10, 0000 lots is

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9028

9208

9802

9820

Out of 40 consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is

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14 / 29

20 / 39

1 / 2

n

Two cards are drawn at random without replacement. the probability that the first is a king and second is not a king is

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48 / 663

24 / 663

12 / 663

None of these

Product of any n consecutive positive integers is divisible by

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n

√n

n!

None

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

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>0

1

<1

0

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

Riaz, Saba. Maria, Shehzad are to give speeches in a class. The teacher can arrange the order of their presentation in

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4 ways

12 ways

256 ways

24 ways

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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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

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

Which one is not defined∀n∈Z+

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-n!

n!

(-n)!

n!+0!=n!+1

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5

10

20

30

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

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

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700

600

720

620

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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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

Given two independent event A and B such that P(A) = 0.30 and P(B) = 0.60. Probability of getting neither A nor B is

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0.28

0.13

0.12

0.42

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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n!

0!

1

None of these

nCn-r is equal to

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n!

n-1Cr

nCr

None of these

9. 8. 7. 6= ______

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Probability of an impossible event is

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0

-1

1

∞

A key ring is an example of

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Permutation

Circular permutation

Combination

None

If A is an event then which of the following is true

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P(A)<0

0≥P(A)≤1

P(A)>0

None

The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 but using each not more than once in each number is

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260

356

410

96

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

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