MBA Exam

Consider a combination lock consisting of 3 buttons that can be pressed in any combination (including multiple buttons at a time), but in such a way that each number is pressed exactly once. Then the total number of possible combination locks with 3 buttons is. . .(Pls explain)

1) 7
2) 9
3) 10
4) 13

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MBA Other Question

The ratio of circumferences of a circle circumscribing a regular hexagon and that of a circle inscribed in it is

1) sqrt(3):1
2) 4:3sqrt(3)
3) 2:sqrt(3)
4) 2sqrt(3):1
A fair coin is tossed n number of times. If the probability that head occurs 7 times is equal to the probability that head occurs 15 times. What is the value of n?

1) 48
2) 24
3) 22
4) 12
5) 32