Home
Class 12
MATHS
Tintin unlocks the chest, and plugs the ...

Tintin unlocks the chest, and plugs the key into the main door. A dial emerges on the door. Beginning with the dial set at zero, the dial must be turned counter-clockwise to the first combination number, (then clockwise back to zero), and clockwise to the second combina- tion number, (then counter-clockwise back to zero), and counter-clockwise again to the third and final number, where upon the door shall immediately spring open. There are 40 numbers on the dial, including the zero. Without knowing the combination numbers, what is the maximum number of trials required to open the safe (one trial equals one attempt to dial a full three-number combination)?

A

64000

B

1600

C

63999

D

1599

Text Solution

Verified by Experts

We get `40*40*1 = 1600` (Since the last round, it opens immediately) ­ 1 (Case of 000)  = 1599
Promotional Banner

Similar Questions

Explore conceptually related problems

Suppose a disc is rotating counter clockwise in the plane of the paper then

In a clockwise system:

In a clockwise system :-

Suppose a disc is rotating counter clockwise in the plane of the paper then .

What part of a revolution have you turned through if you stand facing (a) east and turn clockwise to face north? (b) south and turn clockwise to face east? (c) west and turn clockwise to face east?