Combinatories - Combinatories MCQ

6:  

The number of way a person roundtrip by bus  from A to C by way of B will be

A.

12

B.

48

C.

144

D.

264

 
 

Option: C

Explanation :

There are twelve ways to go from A to C by way of B, and 12 ways to return.
Hence there are 12 x 12 = 144 ways to travel round trip.

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7:  

 The number of diagonals that can be drawn by joining the vertices of an octagon is

A.

28

B.

48

C.

20

D.

None of these

 
 

Option: C

Explanation :

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8:  

The number of ways in which a team of eleven players can be selected from 22 players including 2 of them and excluding 4 of them is

A.

16C11

B.

16C5

C.

16C9

D.

20C9

 
 

Option: C

Explanation :

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9:  

How many 10 digits numbers can be written by using the digits 1 and 2 ?

A.

10C1+9C2

B.

210

C.

10C2

D.

10 !

 
 

Option: B

Explanation :

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10:  

In an examination there are three multiple choice questions and each question has 4 choices. Number of ways in which a student can fail to get all answers correct is

A.

11

B.

12

C.

27

D.

63

 
 

Option: D

Explanation :

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Aditya said: (1:50am on Tuesday 29th January 2013)
No.of ways of attempting 1st,2nd,3rd questions are each.Total no.of ways=4.4.4=64No.of ways to getting all correct answers=1.1.1=1therefore,No.of ways of not getting all answers correct=64-1=63

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