IIT JEE Permutations And Combinations

Hi buddy I am going to appear in IIT JEE exam for admission in B.tech program and here looking for question paper on Permutations And Combinations topics , so can you here provide me same ??

[sumit]

As you going to appear in IIT JEE exam for admission in B.tech program and here looking for question paper on Permutations And Combinations topics , so here on your demand I am providing

1.In a 12-storey house ten people enter a lift cabin.It is known that they will leave the lift in groups of2,3 and 5 people at different storeys.The number of ways they can do so if the lift does not stop up to the second storey is
78
112
720
132

2.A committee of 5 is to be formed from 9 Ladies and 8 men. If the committee commands a lady majority, then the number of ways this can be done is
2352
1008
3360
3486

3.If a polygon has 44 diagonals ,then the number of its sides are
11
7
8
None of these

4.A set contains (2n+1) elements. If the number of subsets of this set which contain almost n elements is 4096,then the value of n is
6
15
21
None of these

5.Ten different letters of an alphabet are given. Words with 5 letters are formed from these given letters. Then the number of words which have at least one letters repeated is
69760
30240
99748
None of these


6.There are two women participating in a class tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 the number of games that the men played with the women. The number of participants is
6
11
13
None of these

7.The total number of seven-digit numbers, the sum of whose digits is even, is
9000000
4500000
810000
None of these

8.The number of five digit telephone numbers having at least one of their digits repeated is
90000
100000
30240
69760

9.In a plane there are 37 straight lines, of which 13 pass through the point A and 11 pass through the point B.Besides, no three lines pass through one point, no line passes through both points A and B, and no two are parallel. Then the number of intersection points the lines have is equal to
535
601
728
None of these

10.The number of triangles whose vertices are at the vertices of an octagon but none of whose sides happen to come from the sides of the octagon is
24
52
48
16
11.From 4 officers and 8 jawans, a committee of 6 is to be chosen to include exactly one officer. The number of such committees is
160
200
224
300

12.How many numbers greater than 1000, but not greater than 4000 can be formed with digits 0, 1, 2, 3, 4 repetitions of digits being allowed?
374
375
376
None of these

13.A five-digit number divisible by 3 is to be formed using the numerals 0, 1,2,3,4 and 5 without repetition. The total number of ways this can be done is
216
240
600
3125

14.Mr. A has x children by his first wife and Ms. B has x+1 children by her first husband. They marry and have children of their own. The whole family has 10 children. Assuming that two children of the same parents do not fight, the maximum number of fights that can take place among the children is
33
35
38
none of these

15.Five distinct letters are to be transmitted through a communication channel. A total number of 15 blanks is to be inserted between the two letters with at least three between every two. The number of ways in which this can be done
1200
1800
2400
3000

16.If the permutations of A,B,C,D,E taken all together be written down in alphabetical order as in dictionary and numbered, then the rank of the permutation DEBAC is
90
91
92
93

17.Six points in a plane be joined in all possible ways by indefinite straight lines and if no two of them be coincident or parallel and no three pass through the same point(with the exceptions of the original 6).The number of distinct points of intersection is equal to
105
45
51
None of these

18.Out of 8 sailors on a boat, 3 can work only on one side and 2 only on the other side. The number of ways the sailors can be arranged on the boat is
1700
1720
1728
1736

19.An n-digit number is a positive number with exactly n digits. Nine hundred distinct n-digit numbers are to be formed using only the three digits 2,5 and 7.The smallest value of N for which this is possible is
6
7
8
9

20.In an examination, there are three multiple choice questions and each question has 4 choices. Number of sequences in which student can fail to get all answers correct is
11
15
80
63

21.The number of words that can be formed by taking 4 letters at a time out of the letters of the word MATHEMATICS is
2500
2550
2454
3000

22.The sides AB, BC, CA of a triangle ABC have 3, 4, and 5 interior points respectively on them. The number of triangles that can be constructed using these points as vertices is
220
210
205
200

23.Passengers are to travel by double decked bus which can accommodate 13 in the upper deck and 7 in the lower deck. The number of ways that they can be distributed if 5 refuse to sit in the upper deck and 8 refuse to sit in the lower deck is
25
21
18
15

24.The number of positive integers which can be formed by using any number of digits from 0,1,2,3,4,5 but using each digit not more than once in each number is
1200
1500
1600
1630

25.All letters of the word AGAIN are permuted in all possible ways and the words so formed (with or without meaning )are written as in dictionary, then the 50 word is
NAAGI
NAAIG
LAANG
INAGA