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TiliK225 [7]
3 years ago
10

A seven digit phone number consists of a three-digit prefix followed

Mathematics
1 answer:
Svetlanka [38]3 years ago
4 0

10000 different phone numbers are possible for a  particular prefix if repetion of digits is allowed

5040 different phone numbers are possible for a  particular prefix if repetion of digits is not allowed

<em><u>Solution:</u></em>

Given that,

A seven digit phone number consists of a three-digit prefix followed  by four digits

We have to find the different phone numbers are possible for a  particular prefix

For a paricualr prefix, there are four digits

Total numbers from 0 to 9 are 10

Therefore,

Different ways for phone number for particular prefix:

If repetition is allowed:

Different ways = 10 x 10 x 10 x 10 = 10000 ways

If repetition is not allowed then:

Different ways = 10 x 9 x 8 x 7 = 5040 ways

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