Question

There are three dials on a combination lock. Each dial can be set to one of the numbers 1, 2, 3, 4, 5 The three digit number 553 is one way the dials can be set, as shown in the diagram. 45 451 2 3 4 (a) Work out the number of different three digit numbers that can be set for the combination lock.​

Answer 1

The number of different three-digit numbers that can be set for the combination lock is 125

How to determine the number of different locks?

The digits are given as

Digit = 1, 2, 3, 4, 5

Each digit can be repeated on the number lock.

So, the individual digit of the lock can be any of the 5 digits.

So, we have:

Locks = 5 * 5 * 5

Evaluate

Locks = 125

Hence, the number of different three-digit numbers that can be set for the combination lock is 125

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