# AMDOCS Permutation and Combinations Problems with Solutions Quiz-1

Question 1

Time: 00:00:00
A cricket team has total of 11 players out of which a final committee

is to be made to lead the games which comprise of 5 members and

one head. In how many ways these can be done.

3345

3345

2702

2702

4456

4456

2772

2772

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Question 2

Time: 00:00:00
In how many different ways can the letters of the word ' ENCYCLOPEDIA'

can be arranged so that the vowels always come together?

4809876

4809876

2419200

2419200

1254638

1254638

3658974

3658974

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and what about repetation of c in consonant

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Question 3

Time: 00:00:00
How many words can be formed from the letter “NETWORKING”

so vowels are together?

221472

221472

205625

205625

212200

212200

241920

241920

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Question 4

Time: 00:00:00
In how many ways can the letters of the word RELATION be

rearranged so that the relative position of the vowels and consonants

remain the same as in the word RELATION?

3! * 5!

3! * 5!

5! * 4!

5! * 4!

3! * 6!

3! * 6!

3! * 4!

3! * 4!

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Question 5

Time: 00:00:00
Determine the value of  16C10?

48048

48048

17274

17274

19622

19622

45876

45876

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Question 6

Time: 00:00:00
How many arrangements of the letters of the word ‘MOUNTAIN’ can be made if the vowels are to occupy only odd places.

72

72

24

24

36

36

62

62

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Question 7

Time: 00:00:00
In a party, a person is required to go through 10 dishes in all,

from 2 counters having 10 dishes each. What are the total numbers

of ways in which a person can select the dishes, provided that at

least three dishes are to be attempted from each section?

10800

10800

20000

20000

10000

10000

28800

28800

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Question 8

Time: 00:00:00
Find the different ways can the letters of the word 'VOWEL'

be arranged so that the vowels always come together?

15

15

13

13

11

11

12

12

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Question 9

Time: 00:00:00
In how many ways letter Guava can be written.

50

50

30

30

60

60

70

70

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Question 10

Time: 00:00:00
For the designation of 3 software engineers, there are 10 equally

qualified candidates. In how many ways can they be selected?

220

220

132

132

660

660

240

240

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

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