IIT JEE Permutations and Combinations Questions

Hello sir I am here as I want to get sample questions related to Permutations and Combinations of IIT JEE so will you please provide me the questions??

[pawan]

Hey!!!! As per your demand here I am providing you sample questions related to Permutations and Combinations of IIT JEE

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