# Permutations and Combinations (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (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

MCQ▾

### Question

Three vertices are chosen randomly from the seven vertices of a regular 7-sided 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

MCQ▾

### Question

The number of rectangles that can be obtained by joining four of the twelve vertices of a 12-sided 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

MCQ▾

### 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

MCQ▾

### 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

MCQ▾

### 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

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