The number of ways of painting the faces of a cube of six different colours is
1
6
6!
36
A.
1
Since the number of faces is equal to the number of colours, therefore, the number of ways of painting them is 1
In how many number of ways can 10 students be divided into three teams, one containing four students and the other three?
400
700
1050
2100
Let A = {1, 2, 3, ... , n} and B = {a, b, c}, then the number of functions from A to B that are onto is:
3n - 2n
3n - 2n - 1
3(2n - 1)
3n - 3(2n - 1)
Everybody in a room shakes hands with everybody else. The total number of hand shakes is 66. The total number of persons in the room is:
9
12
10
14
The sides AB, BC, CA of triangle ABC have 3, 4 and 5 interior points respectively on them. Find the number of triangles that can be constructed using these points as vertices
201
120
205
435
In how many ways, words can be made from the letters of the word BHARAT in which B and H are never together ?
360
300
240
120