Question # 1

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

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nPn

nPr

nCr

2n

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 slip of number divisible by 4 is picked from the slips bearing numbers 1, 2, 3, ...10 is

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1/5

1/4

1/3

1/2

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5

20

9

4

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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56

7

8

8/7

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1 / 2

1 / 3

1 / 4

None of these

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

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

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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

Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then the men select the chairs from amongst the remaining. The number of possible arrangement is

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⁶C₃x ⁴C₂

⁴C₂x ⁴P₃

⁴P₂x ⁶P₃

None of these

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

The value of n, when ⁿP₂= 20 is

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3

4

6

5

How many comittees of 5 numbers can be chosen from a group of 8 players person when each committee must include 2 particular persons

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8!

5!3!

5!

20

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

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>0

1

<1

0

20. 19. 18. 17= _______

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110

220

1320

None of these

If n is a negative integer n! is

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1

0

Unique

Not defined

How many arrangements of the letter of the word PAKPATTAN can be made

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Three integers are chosen at random from the first 20 integers. Then probability that their product is even, is

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2 / 19

3 / 29

17 / 19

4 / 19

A committee consists of 9 experts taken from three institutions A, B, and C, of which 2 are from, A, 3 form B and 4 from C. If three experts resign, then the probability that they belong to different institutions is

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1 / 729

1 / 24

1 / 21

2 / 7

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0

-1

1

2

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

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

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The number of the diagonals of a 6 sided figure is

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15

21

9

6

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

nCn-r is equal to

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n!

n-1Cr

nCr

None of these

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

How many 3 digit numbers can be formed by using each one of the digit 2, 3, 5, 7, 9 only once?

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15

24

60

120

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ECAT Pre General Science Mathematics Chapter 9 Permutation, Combination & Probability Online Test MCQs With Answers

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