# Permutations and Combinations-Simple Applications (KVPY Stream-SA (Class 11) Math): Questions 1 - 4 of 4

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## Question number: 1

» Permutations and Combinations » Simple Applications

Appeared in Year: 2015

MCQ▾

### Question

How many ways are there to arrange the letters of the word EDUCATION so that all the following three conditions hold?

1. the vowels occur in the same order (EUAIO)

2. the consonants occur in the same order (DCTN)

3. no two consonants are next to each other

### Choices

Choice (4) Response

a.

72

b.

120

c.

15

d.

24

## Question number: 2

» Permutations and Combinations » Simple Applications

MCQ▾

### Question

Calculate the numbers of ways to arrange the letters of the word REGULATION so that all the following three conditions hold?

1. the vowels occur in the same order (EUAIO)

2. the consonants occur in the same order (RGLTN)

3. two consonants are not arranged next to each other

### Choices

Choice (4) Response

a.

15

b.

6

c.

8

d.

9

## Question number: 3

» Permutations and Combinations » Simple Applications

MCQ▾

### Question

If n C r-1 = 8, n C r = 28, and n C r + 1 = 56; than value of n and r respectively –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 4

» Permutations and Combinations » Simple Applications

MCQ▾

### Question

If n C r-1 = 165, n C r = 330, and n C r + 1 = 462; than value of n and r respectively –

### Choices

Choice (4) Response

a.

b.

c.

d.

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