# Deloitte Permutations and Combinations Questions and Answers Quiz-1

Question 1

Time: 00:00:00
In how many ways the 18 English and 12 Hindi books can be kept

on the shelf so that two books on Hindi may not be together.

15400

15400

50388

50388

93564

93564

None of these

None of these

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Question 2

Time: 00:00:00
Neha arranges the 10 distinct numbers With 10 distinct

functions. What will be the total number of Combination?

$10^{10}$

$10^{10}$

13

13

90

90

None of these

None of these

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Question 3

Time: 00:00:00
The garden is to be paved with the triangular tiles all over.

How many such tiles can be formed from a vertices point of the

ground at a distance of 14 points and 7 of which lies in the

straight lines.

533

533

333

333

329

329

None of these

None of these

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Question 4

Time: 00:00:00
An online examination have 12 question out of which we have

to solve three questions. Choose how many ways can be

there in which one can solve the question.

$^{12}\textrm{C}_{3}$

$^{12}\textrm{C}_{3}$

$^{10}\textrm{C}_{3}$

$^{10}\textrm{C}_{3}$

$^{9}\textrm{C}_{3}$

$^{9}\textrm{C}_{3}$

$^{12}\textrm{C}_{2}$

$^{12}\textrm{C}_{2}$

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Question 5

Time: 00:00:00
The number of ways in which 12 different books can be arranged

in the book shelves so that 4 books are together.

$8! \times 4!$

$8! \times 4!$

$9! \times 4!$

$9! \times 4!$

$10! \times 4!$

$10! \times 4!$

$9! \times 3!$

$9! \times 3!$

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Question 6

Time: 00:00:00
There are five visiting places in a city and can visit at most 3

places on a day. Find the number of ways in which a visitor can

visit these places in a day.

20

20

25

25

10

10

30

30

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Question 7

Time: 00:00:00
How many words of 3 consonants and 2 vowels can be formed from 5 Consonants and 4 vowels?

40

40

45

45

60

60

50

50

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Question 8

Time: 00:00:00
How many ways can 20 identical toys be divided among 10 childrens if each children must get at least one toy?

$^{19}\textrm{C}_{9}$

$^{19}\textrm{C}_{9}$

$^{19}\textrm{C}_{8}$

$^{19}\textrm{C}_{8}$

$^{20}\textrm{C}_{9}$

$^{20}\textrm{C}_{9}$

$^{21}\textrm{C}_{8}$

$^{21}\textrm{C}_{8}$

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Question 9

Time: 00:00:00
How many factors of $2^{4} \times 3^{7} \times 5^{2}$ are perfect square?

20

20

24

24

12

12

48

48

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Question 10

Time: 00:00:00
If $^{n}\textrm{C}_{7} = ^{n}\textrm{C}_{20}$ find value of n?

27

27

13

13

21

21

6

6

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

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