Advertisements
Advertisements
Question
A letter lock has 3 rings and each ring has 5 letters. Determine the maximum number of trials that may be required to open the lock.
Solution
A letter lock has 3 rings, each ring containing 5 different letters.
∴ Each ring can be adjusted in 5 different ways.
∴ By the principle of multiplication, the 3 rings can be arranged in 5 × 5 × 5 = 125 ways.
Out of these 124 wrong attempts are made and in 125th attempt, the lock gets opened, for maximum number of trials.
∴ Maximum number of trials required to open the lock is 125
APPEARS IN
RELATED QUESTIONS
In a test that has 5 true/false questions, no student has got all correct answers and no sequence of answers is repeated. What is the maximum number of students for this to be possible?
How many four-digit numbers Will not exceed 7432 if they are formed using the digits 2, 3, 4, 7 without repetition?
How many numbers formed with digits 0, 1, 2, 5, 7, 8 will fall between 13 and 1000 if digits can be repeated?
A school has three gates and four staircases from the first floor to the second floor. How many ways does a student have to go from outside the school to his classroom on the second floor?
