# Tech Mahindra Permutation & Combination Quiz 1

Question 1

Time: 00:00:00
Out of 7 consonants and four vowels ,how many words of three consonants and 2 vowels can be formed?

210

210

1050

1050

25200

25200

21400

21400

none of these

none of these

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Question 2

Time: 00:00:00
3 books of mathematics and 5 books of physics are placed on a shelf so that the books on the same subject always remain together .The possible arrangements are .

1440

1440

1956

1956

720

720

none of these

none of these

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Question 3

Time: 00:00:00
The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line is

105

105

115

115

175

175

185

185

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Question 4

Time: 00:00:00
There are 5 letters and five addressed envelopes. the number of ways in which all the letters can be put in wrong envelopes is

119

119

44

44

59

59

40

40

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Question 5

Time: 00:00:00
The number of ways in which 8 different flowers can be strung to form a garland so that 4 particular flowers are never separated is

960

960

2880

2880

288

288

576

576

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Question 6

Time: 00:00:00
At an election there are five candidates and three members to be elected , and a voter may vote for any number of candidates not greater than the number to be elected. Then the number of ways in which a voter may vote is

25

25

30

30

32

32

none of these

none of these

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Question 7

Time: 00:00:00
There are n different books and p copies of each. the number of ways in which a selection can be made from them is

np

np

pn

pn

(p+1)n -1

(p+1)n -1

(n+1)p-1

(n+1)p-1

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Question 8

Time: 00:00:00
The sides AB, BC, CA of a triangle ABC have 3,4 and 5 interior points respectively on them. The total number of triangles that can be constructed by using these points as vertices is

220

220

204

204

205

205

195

195

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Question 9

Time: 00:00:00
A lady gives dinner party to five guests to be selected from 9 friends .The number of ways of forming the party of 5,given that two of the friends will not attend the party together is

56

56

126

126

91

91

none of these

none of these

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Question 10

Time: 00:00:00
A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

1260

1260

210

210

10C6 * 6!

10C6 * 6!

10C5 * 6

10C5 * 6

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["0","40","60","80","100"]
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