Question # 1

The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is

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72

48

144

20

Probability of an impossible event is

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0

-1

1

∞

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

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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

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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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

For two events A and B if P(A) = P (A/B) = 1/4 and P(B/A) = 1/2, then

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A is sub-event of B

A and B are mutually exclusive

A and B are independent and P(A/B) = 3/4

None of these

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

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>0

1

<1

0

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

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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

In how many ways can 5 persons be seated at a round table

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5!

4!

3!

120

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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

A sequence is a function whose domain is

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N

Subset of N

R

None of these

If n is a negative integer n! is

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1

0

Unique

Not defined

Three dice are thrown together. The probability of getting a total of at least 6 is

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103 / 108

10 / 216

93 / 108

None of these

A die is rolled. What is the probability that the dots on the top are greater than 4?

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1/4

1/2

1/3

1/33

nCn-r is equal to

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n!

n-1Cr

nCr

None of these

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

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

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

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Three numbers are chosen random without replacement from {1, 2, 3, ...., 10}. the probability that minimum of the chosen numbering is 3 or their maximum is 7

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7 / 40

5 / 40

11 / 40

None of these

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

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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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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

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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5

10

20

30

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1 / 2

1 / 3

1 / 4

None of these

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

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