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TCS Ninja Permutation and Combinations questions and Answers

Question 1

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,b,c,d are grouped into one form i.e., 1 way remaining 6 members stand in 6 ways total=factorial (6+1) ways =7*6*5*4*3*2*1 =5040

abcd grouped together....so 7!

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Question 2

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 3

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

32

32

16

16

64

64

256

256

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Question 4

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?

625

625

560

560

565

565

575

575

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Question 5

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

64

64

32

32

256

256

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Question 6

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?

720

720

320

320

2160

2160

6480

6480

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the way is 2140

720

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Question 7

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?

325

325

100

100

205

205

105

105

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Question 8

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?

12

12

17!

17!

18!*2

18!*2

17!*2

17!*2

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Question 9

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?

67600

67600

58500

58500

64320

64320

65000

65000

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number of alphabate in english = 26. Two position can be filled in 26*26 ways = 676 ways. 1st number position can be filled with (0 -9) = 10 ways. 2nd 1st number position can be in = 9 ways (repetition is not allowed, so ignoring the number used in 1st place) Total number plate can be formed = 676*10*9 = 60840.

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Question 10

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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["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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