# WeCP Permutation and Combination Quiz 1

Question 1

Time: 00:00:00
A college has 20 basketball players. A 5-member team and a captain will be selected out of these 20 players. How many different selections can be made?

438,900

438,900

232,560

232,560

344,504

344,504

367,910

367,910

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Question 2

Time: 00:00:00
Sachin Tendulkar is known as God of Cricket, teacher told to students, she later asked
if the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word ‘SACHIN’ appears at serial number :

701

701

650

650

601

601

750

750

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Question 3

Time: 00:00:00
100 people at a party shake hands once with everyone else in the room.How many handshakes took place?

4950

4950

5500

5500

5000

5000

6950

6950

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Question 4

Time: 00:00:00
In James Bond casino royale, when 007 was playing in a casino he rolled four fair dice simultaneously, in how many outcomes will at least one of the dice show 3?

571

571

551

551

651

651

671

671

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Question 5

Time: 00:00:00
From 7 sharpeners and 5 erasers, how many set can be formed using 4 sharpeners and 3 erasers ?

19300

19300

18500

18500

176400

176400

none of the above

none of the above

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Question 6

Time: 00:00:00
In how many ways can 7 coca-cola and 6 Pepsi be arranged in a row so that all the seven coca-cola are together ?

23456,000

23456,000

25401,600

25401,600

27601,600

27601,600

35412,600

35412,600

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Question 7

Time: 00:00:00
Frank Loyd saw a floor map, he made 7 non-collinear points. How many triangles can be drawn by joining these points?

35

35

40

40

45

45

50

50

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Question 8

Time: 00:00:00
To call Lucifer a polygon is made which has 44 diagonals, then the number of its sides are?

22

22

11

11

13

13

23

23

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Question 9

Time: 00:00:00
In psychology, mental illness can be caused some time just thinking about negative words. So to avoid this researchers thought of new words in place of the original one. So, in how many ways can the letters of the word "PROBLEM" be rearranged to make 7 letter words such that none of the letters repeat?

7!

7!

7 x 7

7 x 7

$7^{2}$

$7^{2}$

none of the above

none of the above

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Question 10

Time: 00:00:00
In Wanda-Vision, Wanda created her own reality in the form of HEX, suppose she created a circle with her hex containing 15 dots, how many triangles can be formed?

255

255

355

355

455

455

555

555

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