Question # 1

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

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The number of combinations of 10 different objects taken 8 objects at a time is

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90

45

55

50

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

6! = ______

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360

720

6.5.4

None of these

The sum of all even numbers less than 100 is

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2450

2352

2272

2468

If n is a negative integer n! is

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1

0

Unique

Not defined

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

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n!

0!

1

None of these

n!/(n-1)!=

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n

n!

(n-1)!

0!

Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cars of the same suit is

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44/4165

22/4165

11/4165

None of these

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

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

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

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nPn

nPr

nCr

2n

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 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

A machine operates if all of its three components function. The probability that the first component fails during the year is 0.14, the second component fails is 0.10 and the third component fails is 0.05. the probability that the machine will fail during the year is

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0.2647

0.2692

0.3647

None of these

The probability that a slip of numbers divisible by 4 is picked from the slips of number 1,2,3,4,......10 is

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1/5

2/5

1/10

3/10

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

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

An integer is chosen at random from the number ranging from 1 to 50. the probability that the integer chosen is a multiple of 2 or 3 or 10 is

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3 / 10

5 / 10

7 / 10

9 / 10

Product of any n consecutive positive integers is divisible by

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n

√n

n!

None

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56

7

8

8/7

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P(A) + P(B)

P(A) - P(B)

P(A) . P(B)

P(A) / P(B)

The probability that the sum of dots appearing in two successive thrown of two dice, in every time 7 is

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1/5

1/36

1/7

1/63

The number of the diagonals of a 6 sided figure is

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15

21

9

6

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

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The value of n, when ⁿP₂= 20 is

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3

4

6

5

The number of permutations of n objects of which there are n₁like of one kind, n₂like of the second kind and n₃like objects of third kind are

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

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700

600

720

620

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6

360

120

24

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

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