A room has 6 doors. The no. of ways, in which a man can enter the room through one door and come out through a different door, is
6
12
30
36
There are 5 roads leading to a town from a village. The number of ways, in which a villager can go to the town and return back, is
25
20
10
5
The no. of 5 digit numbers that can be formed with the digits 0,1,2,3,4 if the numbers can be repeated in the same number is
250
2500
12500
The no. of way in which the letters of the word 'ARRANGE' can be arranged such that both 'R' do not come together is
360
900
1260
1620
In how many ways can a cricket team of eleven members be chosen out of a batch of 15 player, if there is no restriction on the selection?
1
780
1365
32760
The no. of ways in which a committee of 5 members can be selected from 6 men and 5 women consisting of 3 men and 2 women is
100
200
300
400
In a party , 12 persons are to be arranged in a round table. If two particular persons are not to sit side by side, then the total no. of arrangements is
9 x 10!
2 x 10!
45 x 8!
10!
In how many ways 7 men and 7 women can sit on a round table such that no two women sit together?
(7!)2
6! x 7!
7 x (6!)2
7!
How many no. of 6 digits can be formed from the digits of the number 112233?
60
90
120
