Question # 1

Probability of an impossible event is

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0

-1

1

∞

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

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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

nCn-r is equal to

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n!

n-1Cr

nCr

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

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In a 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

60

All letters of the word "AGAIN" are permuted in all possible ways and the words so formed (with or without meaning) are written as in dictionary, then the 50th word is

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NAAGI

NAAIG

IAANG

INAGA

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

There are 16 point in a plane, in which 6 are collinear. how many lines can be drawn by joining these points?

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10

66

71

106

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56

7

8

8/7

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

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3

6

0

None of these

20. 19. 18. 17= _______

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The value of n, when ⁿP₂= 20 is

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3

4

6

5

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

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110

220

1320

None of these

The factorial of a positive integers is a (an)

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Rational number

Positive integer

Real number

None

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n!

0!

1

None of these

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8

1/56

56

None of these

An experiment yields 3 mutually exclusive and exhaustive events A, B, C, if P(A) =2 and P(B) = 3. then P(C) =

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1 / 11

2 / 11

3 / 11

6 / 11

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

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nPn

nPr

nCr

2n

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120

5

4

6

Five engineering, four mathematics, two chemistry books are placed on a table at random.The probability that the books of each kind are all together is

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probability of a certain event is

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0

-1

1

∞

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5 / 12

3 / 8

5 / 8

7 / 4

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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

The domain of a finite sequence is a

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Set of natural numbers

R

Subset of N

Proper subset of N

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

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