Permutations and Combinations (KVPY Stream-SA (Class 11) Math): Questions 1 - 5 of 6

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Question number: 1

» Permutations and Combinations » Combination as Selection

Appeared in Year: 2014

MCQ▾

Question

Let x and y be two 2-digit numbers such that y is obtained by reversing the digits of x. Suppose they also satisfy x2y2=m2 for some positive integer m. The value of x+y+m is

Choices

Choice (4) Response

a.

112

b.

144

c.

154

d.

88

Question number: 2

» Permutations and Combinations » Combination as Selection

Appeared in Year: 2014

MCQ▾

Question

The number of all 3-digit numbers abc (in base 10) for which,

(a×b×c)+(a×b)+(b×c)+(c×a)+(a+b+c)=29 is

Choices

Choice (4) Response

a.

6

b.

14

c.

10

d.

18

Question number: 3

» 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: 4

» 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: 5

» 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.

n=8,r=2

b.

n=10,r=4

c.

n=9,r=4

d.

n=7,r=3

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