# InfyTQ Permutation and Combination Quiz 4

Question 1

Time: 00:00:00
Find Number of Arrangement of letters of word "PLAY" .

76

76

24

24

90

90

54

54

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Question 2

Time: 00:00:00
A owes B Rs.50. He agrees to pay B over a number of consecutive days starting on a Monday, paying single note of Rs.10 or Rs.20 on each day. In how many different ways can A repay B.

2

2

6

6

10

10

8

8

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Question 3

Time: 00:00:00
How many 6 digit even numbers can be formed from digits 1, 2, 3, 4, 5, 6, and 7 so that the digit should not repeat and the second last digit is even?

780

780

720

720

901

901

920

920

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Question 4

Time: 00:00:00
What is the number of ways of expressing 3600 as a product of three ordered positive integers (abc, bca etc. are counted as distinct). For example, the number 12 can be expressed as a product of three ordered positive integers in 18 different ways.

540

540

450

450

782

782

252

252

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Question 5

Time: 00:00:00
There is a 7-digit telephone number with all different digits. If the digit at extreme right and extreme left are 5 and 6 respectively, find how many such telephone numbers are possible?

6720

6720

7610

7610

5430

5430

2020

2020

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Question 6

Time: 00:00:00
There is a set of 36 distinct points on a plane with the following characteristics: * There is a subset A consisting of fourteen collinear points. * Any subset of three or more collinear points from the 36 are a subset of A. How many distinct triangles with positive area can be formed with each of its vertices being one of the 36 points? (Two triangles are said to be distinct if at least one of the vertices is different)

8753

8753

9087

9087

1000

1000

6776

6776

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Question 7

Time: 00:00:00
In how many ways a team of 11 must be selected from 5  men and 11 women such that the team must comprise of not more than 3 men?

1234

1234

3426

3426

2256

2256

7832

7832

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Question 8

Time: 00:00:00
The number of committees of size 10 that could be formed from 10 men & 10 women such that committee has at least 6 women is

60626

60626

66626

66626

80626

80626

84826

84826

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Question 9

Time: 00:00:00
There are three cities A, B and C. Each of these cities is connected with the other two cities by at least one direct road. If a traveller wants to go from on city (origin) to another city (destination), she can do so either by traversing a road connecting the two cities directly, or by traversing two roads, the first connecting the origin to the third city and the second connecting the third city to the destination. In all there are 33 routes from A to B (including those via C). Similarly, there are 23 routes from B to C (including those via A). How many roads are there from A to C directly?

6

6

4

4

7

7

9

9

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Question 10

Time: 00:00:00
1, 2, 3 and 4 can form 256 different four digit numbers. If digits repeated, two of them are 1111 and 1113. Then find the sum of 256 numbers.

611040

611040

872343

872343

711040

711040

None

None

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["0","40","60","80","100"]
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