Permutations and Combinations (KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 1  5 of 6
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Question number: 1
» Permutations and Combinations » Simple Applications
Appeared in Year: 2010
Question
Three vertices are chosen randomly from the seven vertices of a regular 7sided polygon. The probability that they form the vertices of an isosceles triangle is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 2
» Permutations and Combinations » Simple Applications
Appeared in Year: 2010
Question
The number of rectangles that can be obtained by joining four of the twelve vertices of a 12sided regular polygon is –
Choices
Choice (4)  Response  

a.  66 

b.  15 

c.  24 

d.  30 

Question number: 3
» Permutations and Combinations » Fundamental Principle of Counting
Appeared in Year: 2012
Question
Three children, each accompanied by a guardian, seek admission in a school. The principal wants to interview all 6 persons one after the other subject to the condition that no child is interviewed before its guardian. In how many ways can this be done?
Choices
Choice (4)  Response  

a.  180 

b.  90 

c.  60 

d.  120 

Question number: 4
» Permutations and Combinations » Simple Applications
Appeared in Year: 2014
Question
Let X be a set of elements. The numbers of ordered pairs of subsets of such that satisfies:
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 5
» Permutations and Combinations » Combination as Selection
Appeared in Year: 2015
Question
An urn contains marbles of four colors: red, white, blue and green. When four marbles are drawn without replacement, the following events are equally likely:
(1) the selection of four red marbles
(2) the selection of one white and three red marbles
(3) the selection of one white, one blue and two red marbles
(4) the selection of one marble of each color
The smallest total number of marbles satisfying the given condition is –
Choices
Choice (4)  Response  

a.  69 

b.  46 

c.  21 

d.  19 
