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How many combinations are possible on a 4 number computer cable lock. each space can be any number 0-9 . The only exception is that all four numbers cannot be the same. How many combinations are possible ?

Respuesta :

MrRoyal

Answer:

5040

Step-by-step explanation:

Given

Digits: 0 - 9

Required

Number of combinations of 4 digits where no repetition is allowed

First, we need to count the number of digits

[tex]Number = 10[/tex]

Then, we perform the following analysis.

The first space can contain any of the 10 digits;

The second space can contain any of the remaining 9 digits;

The third space can contain any of the remaining 8 digits;

The fourth space can contain any of the 7 digits;

Hence; the umber of combination is

[tex]Number = 10 * 9 * 8 * 7[/tex]

[tex]Number = 5040[/tex]

Hence, there are 5040 possible combinations

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