Question # 1

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5 / 12

3 / 8

5 / 8

7 / 4

6! = ______

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360

720

6.5.4

None of these

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

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6

1

1/6

1/2

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

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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

n!/(n-1)!=

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n

n!

(n-1)!

0!

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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110

220

1320

None of these

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)!

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

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

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

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

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

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120

5

4

6

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

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

The domain of an infinite sequence is a

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Set of natural numbers

R

Subset of N

None of the above

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

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 A and B are two disjoint events then

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P(A∪B)=P(A)+P(B)

P(A∪B)=P(A)-P(A∪B)

P(A∪B)=P(A)or P(B)

None

The domain of a finite sequence is a

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Set of natural numbers

R

Subset of N

Proper subset of N

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

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

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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

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

Arithmetic mean between 14 and 18 is

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16

17

15

32

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

If n is a negative integer n! is

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1

0

Unique

Not defined

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1.5

1.2

8

None of these

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A bag contains 5 white, 7 red and 5 black balls. If four balls are drawn one by one with replacement, the probability that none is white is

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(11/16)²

(5/16)²

(11/16)⁴

(5/16)⁴

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0.9

0.74

0.2016

None of these

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

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