JEE Questions for Maths Permutations And Combinations Quiz 6

A class has 21 students. The class teacher has been asked to make n groups of r students each and go to zoo taking one group at a time. The size of group i.e. the value of r for which the teacher goes to the zoo, maximum number of times is (no group can go to the zoo twice)

0%
9 or 10
0%
10 or 11
0%
11 or 12
0%
12 or 13

There are p, q, r points on three parallel lines L₁, L₂ and L₃ all of which lie in one plane. The number of triangles which can be formed with vertices at these points is

0%
0%
2)
0%
0%
none of these

The number of solutions if x + y + z + w = 20, if x ≥ 1, y ≥ 2, z ≥ 3, w ≥ 4, is

0%
0%
2)
0%
0%

The number of ten balls selections, if at least one ball of each colour must be included in the 10 ball selections is

0%
256
0%
286
0%
84
0%
none of these

Maths-Permutations and Combinations-43697.png

0%
14
0%
15
0%
16
0%
28

n books are arranged on a shelf so that two particular books are not next to each other, There were 480 arrangements altogether. Then the number of books on the shelf is ________

0%
5
0%
6
0%
10
0%
8

The sum of all possible numbers greater than 10000 formed by using the digits from { 1,3,5,7,9} is

0%
666600
0%
666660
0%
66666600
0%
None of these

How many words can be formed by taking four different letters of the word MATHEMATICS ?

0%
756
0%
1680
0%
2454
0%
18

Maths-Permutations and Combinations-43702.png

0%
0%
2)
0%
0%
None of these

Maths-Permutations and Combinations-43707.png

0%
3
0%
4
0%
2
0%
5

How many different nine digit numbers can be formed from the number 22,33,55,888 by rearranging its digits so that the odd digits occupy even positions ?

0%
16
0%
4
0%
60
0%
5

The number of arrangements that can be made out of the letter of the word SUCCESS so that the all S's do not come together is

0%
60
0%
120
0%
360
0%
420

If the coefficient of the 5th, 6th and 7th terms of the expansion of (1+x)ⁿ are in A.P then the value of n may be _______

0%
5
0%
6
0%
7
0%
8

The number of numbers greater than 3000, which can be formed by using the digits 0,1,2,3,4,5 without repetition is _______

0%
1240
0%
1280
0%
1320
0%
1380

In a certain test ai students gave wrong answers to atleast i questions, where i= 1,2,3......k No student gave more than k wrong answers. The total number of wrong answers is _______

0%
0%
2)
0%
0%

Six x\'s are to be placed in the squre of the figure given below such that each row contain atleast one X the number of ways this can be done is _______
Maths-Permutations and Combinations-43718.png

Maths-Permutations and Combinations-43718.png

0%
18
0%
22
0%
26
0%
30

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 _______

0%
216
0%
184
0%
256
0%
225

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

0%
26
0%
56
0%
50
0%
72

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 _______

0%
220
0%
204
0%
205
0%
195

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 _______

0%
420
0%
120
0%
210
0%
None of these

Maths-Permutations and Combinations-43724.png

0%
34
0%
35
0%
36
0%
37

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 ?

0%
907,200
0%
970200
0%
922700
0%
709002

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

0%
0%
2)
0%
0%
None of these

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

0%
15
0%
20
0%
25
0%
10

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 ?

0%
69760
0%
98748
0%
96747
0%
97147

Maths-Permutations and Combinations-43733.png

0%
1
0%
np
0%
npq
0%
0

The no. of 10 letter codes that can be formed using the characters x,y,z,r with the restriction that x appears exactly thrice and y appars exactly twice in each such codes is

0%
60840
0%
88400
0%
80640
0%
64080

A rectangle with sides 2m–1 and 2n–1 is divided into squres of unit length by drawing Parallel lines as shown in the diagram then the no.of rectangles possible with odd side length is _______
Maths-Permutations and Combinations-43736.png

Maths-Permutations and Combinations-43736.png

0%
0%
2)
0%
0%

The number of seven digit integers with sum of the digits equal to 10 and formed by using the digits 1,2 and 3 only is _______

0%
55
0%
66
0%
77
0%
88

Maths-Permutations and Combinations-43743.png

0%
0%
2)
0%
0%

Maths-Permutations and Combinations-43749.png

0%
250
0%
252
0%
254
0%
256

If a denotes the no. of permutation of x + 2 things taken all at a time, b the no. of permutation of x things taken 11 at a time and c the no. of permutation of x – 11 things taken all at a time such that a = 182bc then the value of x is _______

0%
15
0%
12
0%
10
0%
18

In how many ways can 15 members of a school sit along a circular table, when the secretary is to sit on side of the principal and the deputy secretary on the other side ?

0%
0%
24
0%
0%

The total no. of permutations of n(n >different things taken not more than r at a time, when each things may be repeated any no. of times is _______

0%
0%
2)
0%
0%

A car will hold 2 in the front seat and 1 in the rear seat. If among 6 persons 2 can drive, than no. of ways in which the car can be filled is _______

0%
10
0%
20
0%
30
0%
40

ABCD is a convex quadrilateral. 3,4,5 and 6 points are marked on the sides AB,BC,CD and DA resp. The no.of triangles with vertices on different sides are _______

0%
270
0%
220
0%
282
0%
342

In chess championship 153 games have been played. If a player with every other player plays only once, then the no. of players are _______

0%
17
0%
51
0%
18
0%
35

Maths-Permutations and Combinations-43763.png

0%
140
0%
70
0%
100
0%
75

In a certain test there are n questions. In this test 2^k students gave wrong answers to at least n–k question. K = 0,1,2... n.If the no.of wrong answers is 4095 then value of n is _______

0%
11
0%
12
0%
13
0%
15

Maths-Permutations and Combinations-43766.png

0%
14
0%
16
0%
12
0%
32

A class contain 4 boys and g girls every sunday 5 students including at least 3 boys go for a picnic to doll house, a different group being sent every week. during the picnic the class techer gives each girl in the group a doll . If the total no. of dolls distributed was 85, then value of g is _______

0%
15
0%
12
0%
8
0%
5

The no. of ways in which we can get a sum of the score of 11 by tossing three dices is _______

0%
18
0%
27
0%
45
0%
56

There are 3 set of parallel lines containing p lines, q lines and r lines resp. The greatest no. of parallelograms that can be formed by the system _______