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# TCS NQT Permutation and Combinations Questions Quiz 1

Question 1

Time: 00:00:00
How many vehicle registration plate numbers can be formed with digits 1,2,3,4,5 (no digit being repeated)if it's given that registration number can have 1 to 5 digits?

205

205

100

100

325

325

105

105

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Question 2

Time: 00:00:00
There are 20 persons sitting in a circle. In that, there are 18 men and 2 sisters. How many arrangements are possible, in which the two sisters are always separated by a man?

18!*2

18!*2

17!

17!

17!*2

17!*2

12

12

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Question 3

Time: 00:00:00
A number plate can be formed with two alphabets followed by two digits with no repetition. then how many possible combinations can we get?

58500

58500

67600

67600

65000

65000

64320

64320

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Question 4

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

1234

1234

1565

1565

2456

2456

2256

2256

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Question 5

Time: 00:00:00
Find no of ways in which 4 particular persons a,b,c,d and 6
more persons can stand in a queue so that A always stand
before B. B always stand before C, And C always stand before D?

6!

6!

7!

7!

10C6*6!

10C6*6!

10C4*4!

10C4*4!

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A stands always before B so,1! B stands always before C so, 1! C stands always before D so,1! and then D stands to 7 chances in between 6persons._1_2_3_4_5_6_

i can\'t understood option c is correct answer explainme

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Question 6

Time: 00:00:00
There are 10 points on a straight line AB and 8 on another straight line AC none of them being point A. how many triangles can be formed with these points as vertices?

680

680

720

720

816

816

640

640

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Question 7

Time: 00:00:00
Find the number of ways a batsman can score a double century only in terms of 4's & 6's?

15

15

16

16

17

17

18

18

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Question 8

Time: 00:00:00

How many positive integer numbers not more than 4300 can be formed with the digits 0, 1, 2, 3, 4 if repetitions are allowed?

560

560

565

565

575

575

625

625

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Question 9

Time: 00:00:00
In a 3x3 square grid comprising 9 tiles, each tile can be painted in red or blue colour. When the tile is rotated by 180 degrees, there is no difference which can be spotted. How many such possibilities are there?

16

16

32

32

64

64

256

256

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Question 10

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

6480

6480

320

320

2160

2160

720

720

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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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