Question on Permutation Combination Quiz-1

Question 1

Time: 00:00:00

The number of ways of arranging n students in a row such that no two boys sit together and no two girls sit together is m(m>100).

If one more student is added, then number of ways of arranging as above increases by 200%, The value of n is:

12

8

9

10

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Question 2

Time: 00:00:00

How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4 if repetition of digits is allowed?

499

500

375

376

501

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Question 3

Time: 00:00:00

There are 10 seats around a circular table. If 8 men and 2 women have to seated around a circular table, such that no two women have to be separated by at least one man.

If P and Q denote the respective number of ways of seating these people around a table when seats are numbered and unnumbered, then P:Q equals,

9:1

72:1

10:1

8:1

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Question 4

Time: 00:00:00

In how many rearrangements of the word AMAZED, is the letter E positioned in between the 2 As (Not necessarily flanked)?

24

72

120

240

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Question 5

Time: 00:00:00

Bob is about to hang his 8 shirts in the wardrobe. He has four different styles of shirt, two identical ones of each particular style.

How many different arrangements are possible if no two identical shirts are next to one another?

764

864

964

1064

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Question 6

Time: 00:00:00

There are 6 boxes numbered 1,2,...6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered.

The total number of ways in which this can be done is:

5

21

33

27

60

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Question 7

Time: 00:00:00

A seven-digit number comprises of only 2's and 3's. How many of these are multiples of 12?

1

11

21

47

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Question 8

Time: 00:00:00

When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?

155

620

625

671

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Question 9

Time: 00:00:00

Some boys are standing in a circle at distinct points. Each possible pair of persons, who are not adjacent, sing a 3-minute song, one pair after another.

The total time taken by all the pairs to sing is 1 hour.

Find the number of boys?

6

7

8

9

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Question 10

Time: 00:00:00

Ten points are marked on a straight line and eleven points are marked on another straight line. How many triangles can be constructed with vertices from among the above points?

495

550

1045

2475

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