Question # 1

n different objects can be arranged taken all at a time in ______

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(n + 1)! ways

(n - 1)! ways

n! ways

n ways

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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

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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

If n is a negative integer n! is

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1

0

Unique

Not defined

How many arrangements of the letters of the word MI SSI PPI, taken all together can be made?

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6! = ______

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360

720

6.5.4

None of these

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

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1/2

1/6

1/3

2

probability of a certain event is

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0

-1

1

∞

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

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700

600

720

620

How many arrangements of the letters of the word PAKISTAN cab be made

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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

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

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

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

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0

-1

1

2

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!

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

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)

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

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Fifteen girls compete in a race. The first three places can be taken by them in

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3! ways

12! ways

15 x 14 x 13 ways

42 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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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

0! = ______

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0

1

2

Not defined

Three unbiased coins are tossed. Then the probabilities of getting two heads is

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3/8

1/8

1/4

None of these

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

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110

220

1320

None of these

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

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If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

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

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