# 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. - Mathematics and Statistics

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Sum

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

Concept: Concept of Multiplication Principle
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Chapter 6: Permutations and Combinations - Exercise 6.1 [Page 73]

#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.1 | Q 7 | Page 73
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