Permutations and Combinations Test

Result

Permutations and Combinations Test - 55

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

How many different nine-digit numbers can be formed from the digits of the number 223355888 by rearrangement of the digits so that the odd digits occupy even places

A
16

B
36

C
60

D
180

Solution
Question 2
4 / -1

There are three girls in a class of 10 students. The number of different ways in which they can be seated in a row such that no two of the three girls are together is

A

B

C

D
Question 3
4 / -1

A

B

C

D

Solution
Question 4
4 / -1

Eight chairs are numbered 1 to 8. Two women and three wish to occupy one chair each. First the women choose the chairs from amongst the chairs marked 1 to 4 and then men select the chairs from amongst the remaining . The number of possible arrangements is

A

B

C

D
None of these

Solution
Question 5
4 / -1

The sides AB, BC, CA of a triangle ABC have respectively 3,4 and 5 points lying on them. The number of triangles that can be constructed using these points as vertices is

A
205

B
220

C
210

D
None of these

Solution
Question 6
4 / -1

In a certain test a_i students gave wrong answers to at least i questions where i = 1,2,3,....k. No student gave more than k wrong answers.The total numbers of wrong answers given is

A
a₁ + 2a₂ + 3a₃ + ....+ka_k

B
a₁ + a₂ + a₃ + ....+ a_k

C
zero

D
None of the above

Solution
Question 7
4 / -1

Six \'X\' s have to be placed in the square of the figure such that each row contains at least one X. In how many different ways can this be done

A
28

B
27

C
26

D
None of these
Question 8
4 / -1

A committee of 12 is to be formed from 9 women and 8 men in which at least 5 women have to be included in a committee. Then the number of committees in which the women are in majority and men are in majority are respectively

A
4784,1008

B
2702,3360

C
6062,2702

D
2702,1008

Solution
Question 9
4 / -1

The number of ways in which the following prizes be given to a class of 20 boys , first and second Mathematics , first and second Physics, first Chemistry and first English is

A
20⁴ × 19²

B
20³ × 19³

C
20² × 19⁴

D
None of these
Question 10
4 / -1

A

B

C

D
None of these

Solution