Permutations and Combinations Test

Result

Permutations and Combinations Test - 50

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Weekly Quiz Competition

Question 1
4 / -1

The number of numbers that can be formed with the help of the digits 1,2,3,4,3,2,1 so that odd digits always occupy odd places, is

A
24

B
18

C
12

D
30

Solution
Question 2
4 / -1

The number of 5 digit telephone numbers having at least one of their digits repeated is

A
90,000

B
1,00,000

C
30,240

D
62,784
Question 3
4 / -1

How many words can be formed with the letters of the word MATHEMATICS by rearranging them

A

B

C

D
11!

Solution
Question 4
4 / -1

The number of words that can be formed out of the letters of the word ARTICLE so that the vowels occupy even places is

A
36

B
574

C
144

D
754
Question 5
4 / -1

In a circus there are ten cages for accommodating ten animals. Out of these four cages are so small that five out of 10 animals cannot enter into them. In how many ways will it be possible to accommodate ten animals in these ten cages

A
66400

B
86400

C
96400

D
None of these
Question 6
4 / -1

The number of 4 digit numbers that can be formed from the digits 0,1,2,3,4,5,6,7, so that each number contains digit 1 is

A
1225

B
1252

C
1522

D
750
Question 7
4 / -1

How many numbers can be made with the digits 3,4,5,6,7,8 lying between 3000 and 4000 which are divisible by 5 when repetition of any digit is not allowed in any number

A
60

B
12

C
120

D
24
Question 8
4 / -1

Eleven books consisting of 5 Mathematics, 4 Physics and 2 Chemistry are placed on a shelf. The number of possible ways of arranging them on the assumption that the books of the same subject are all together is

A
4! 2!

B
11!

C
5! 4! 3! 2!

D
None of these
Question 9
4 / -1

If a denotes the number of permutations of x + 2 things taken all at a time, b the number of permutations of x things taken 11 at a time and c the number of permutations of x - 11 things taken all at a time such that a = 182 bc , then the value of x is

A
15

B
12

C
10

D
18

Solution
Question 10
4 / -1

The number of ways in which ten candidates A₁, A₂ , ........,A₁₀ can be ranked such that A₁ is always above A₁₀ is

A
5!

B
2(5!)

C
10!

D

Solution