Zoho Permutation and Combination Quiz 1

Question 1

Time: 00:00:00
A person ordered 5 pairs of black socks and some pairs of brown socks. The price of a black pair was thrice that of a brown pair while preparing the bill the bill clerk inter-changed the number of black and brown pairs by mistake which increased the bill by 100% what was the number of pair of brown socks in the original order?

20

20

25

25

36

36

56

56

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Question 2

Time: 00:00:00
There are 5 tasks and 5 persons, Task 1 cannot be assigned to either person 1 or person 2, Task 2 must be assigned to either person-3 or person-4 every person is to be assigned one task, In how many ways can the assignment be done?

6

6

12

12

24

24

144

144

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Question 3

Time: 00:00:00
A two number committee comprising of one male and the female number is to be constituted out of five male and 3 females. Amongst the females, Ms. A refused to be number committee in which Mr.B is taken as the number of how many different ways can the committee be constituted?

11

11

30

30

14

14

20

20

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Question 4

Time: 00:00:00
In a society, it is customary for friends of the same sex to hug and for friends of opposite sex to shake hands when they meet. A group of friends met in a party and there were 24 hand shakers. Which one among the following numbers indicates the possible number of hugs?

39

39

30

30

21

21

20

20

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Question 5

Time: 00:00:00
Twelve people from a club, by picking lots. One of them will host a dinner for all once in a month. The number of dinners a particular member has to host in one year is

one

one

zero

zero

three

three

Cannot be determined

Cannot be determined

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Question 6

Time: 00:00:00
There are two identical red, two identical black, and two identical white balls.In how many different ways can the balls be placed in the cells (Each cell to contain one ball) shown above such that balls of the same colour do not occupy any two consecutive cells?

10

10

12

12

14

14

24

24

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Question 7

Time: 00:00:00
In how many different ways can four books A, B, C and D be arranged one above another in a vertical order such that the books A and B are never in continuous position?

9

9

12

12

14

14

18

18

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Question 8

Time: 00:00:00
Amit has five friends, 3 girls and 2 boys. Amit’s wife also has 5 friends, 3 boys, and 2 girls. In how many maximum numbers of different ways can their invite 2 boys and 2 girls such that two of them are Amit’s friends and two are his wife’s?

12

12

36

36

48

48

46

46

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Question 9

Time: 00:00:00
A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag?

⁹C₂

⁹C₂

³C₂

³C₂

¹⁶C₂

¹⁶C₂

¹²C₂

¹²C₂

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Question 10

Time: 00:00:00
In how many ways can three consonants and two vowels be selected from the letters of the word ""TRIANGLE""?

25

25

13

13

40

40

30

30

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["0","40","60","80","100"]
["Need more practice! \n","Keep trying! \n","Not bad! \n","Good work! \n","Perfect! \n"]

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