Permutations and Combinations Test

Result

Permutations and Combinations Test - 39

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A five digit number divisible by 3 is to be formed using the digit 0,1,2,3,4,5 without repetition, The number of ways this can be done is _______

A
216

B
184

C
256

D
225

Solution
Question 2
4 / -1

The maximum no. of points into which 4 circles and 4 straight lines intersect is _______

A
26

B
56

C
50

D
72

Solution
Question 3
4 / -1

The sides AB,BC,CA of a triangle ABC have 3,4 and 5 interior points respectively on them the total no. of triangle that can be constructed by using these points as vertices is _______

A
220

B
204

C
205

D
195

Solution
Question 4
4 / -1

Seven different teachers are to deliver lectures in seven periods of a class on a particular day. A,B and C are three of the teachers. The no.of ways in which a routine for the day can be made such that A delivers his lacture before B and B before C is _______

A
420

B
120

C
210

D
None of these

Solution
Question 5
4 / -1

A
34

B
35

C
36

D
37

Solution
Question 6
4 / -1

If the different permutations of all the letters of the word EXAMINATION are listed in a dictionary then how many words are there in this list before the first word begins with E ?

A
907,200

B
970200

C
922700

D
709002

Solution
Question 7
4 / -1

The number of ways in which in a necklace can be formed by using 5 identicle red beads and 6 identicle black beads is

A

B

C

D
None of these

Solution
Question 8
4 / -1

In an examination a candidate has to pass in each of the four subjects.In how many ways can he fail?

A
15

B
20

C
25

D
10

Solution
Question 9
4 / -1

Ten different letters of english alphabet are given. Out of these letters, words of 5 letters are formed. How many words are formed when at least one letter is repeated ?

A
69760

B
98748

C
96747

D
97147

Solution
Question 10
4 / -1

A
1

B
np

C
npq

D
0

Solution