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EXAM Math Questions and Answer Page 8606

(#M40020768) EXAM QUESTION permutation Keep an EYE

A local delivery company has three packages to deliver to three different homes. if the packages are delivered at random to the three houses, how many ways are there for at least one house to get the wrong package?

A.

3

B.

5

C.

3!

D.

5!

Asked In exam MAN (12 years ago)

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(#M40020763) EXAM QUESTION permutation Keep an EYE

Jay wants to buy a total of 100 plants using exactly a sum of Rs 1000. He can buy Rose plants at Rs 20 per plant or marigold or Sun flower plants at Rs 5 and Re 1 per plant respectively. If he has to buy at least one of each plant and cannot buy any other type of plants, then in how many distinct ways can Jay make his purchase?

A.

2

B.

3

C.

4

D.

5

Asked In exam MAN (12 years ago)

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(#M40020761) EXAM QUESTION permutation Keep an EYE

Goldenrod and No Hope are in a horse race with 6 contestants. How many different arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?

A.

700

B.

360

C.

120

D.

24

E.

21

Asked In exam MAN (12 years ago)

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(#M40020759) EXAM QUESTION permutation Keep an EYE

From a total of six men and four ladies a committee of three is to be formed. If Mrs. X is not willing to join the committee in which Mr. Y is a member, whereas Mr.Y is willing to join the committee only if Mrs Z is included, how many such committee are possible?

A.

138

B.

128

C.

112

D.

91

Asked In exam MAN (12 years ago)

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(#M40020757) EXAM QUESTION permutation Keep an EYE

There are five cards lying on the table in one row. Five numbers from among 1 to 100 have to be written on them, one number per card, such that the difference between the numbers on any two adjacent cards is not divisible by 4. The remainder when each of the 5 numbers is divided by 4 is written down on another card (the 6th card) in order. How many sequences can be written down on the 6th card?

A.

210

B.

210×33

C.

4×34

D.

4233

Asked In exam MAN (12 years ago)

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(#M40020755) EXAM QUESTION permutation Keep an EYE

a,b,c,d and e are five natural numbers. Find the number of ordered sets (a,b,c,d,e) possible such that a+b+c+d+e=64.

A.

64C5

B.

63C4

C.

65C4

D.

63C5

Asked In exam MAN (12 years ago)

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(#M40020753) EXAM QUESTION permutation Keep an EYE

There are 2 brothers among a group of 20 persons. In how many ways can the group be arranged around a circle so that there is exactly one person between the two brothers?

A.

2 × 17!

B.

18! × 18

C.

19! × 18

D.

2 × 18!

E.

2 × 17! × 17!

Asked In exam MAN (12 years ago)

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(#M40020751) EXAM QUESTION permutation Keep an EYE

In how many ways can seven friends be seated in a row having 35 seats, such that no two friends occupy adjacent seats?

A.

29P7

B.

29C7

C.

28P7

D.

29C7

Asked In exam MAN (12 years ago)

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(#M40020750) EXAM QUESTION permutation Keep an EYE

There are eight boxes of chocolates, each box containing distinct number of chocolates from 1 to 8. In how many ways four of these boxes can be given to four persons (one boxes to each) such that the first person gets more chocolates than each of the three, the second person gets more chocolates than the third as well as the fourth persons and the third person gets more chocolates than fourth person?

A.

35

B.

70

C.

105

D.

210

Asked In exam MAN (12 years ago)

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(#M40020749) EXAM QUESTION permutation Keep an EYE

How many 5-digit positive integers exist the sum of whose digits are odd?

A.

36000

B.

38000

C.

45000

D.

90000

Asked In exam MAN (12 years ago)

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