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(1 point) find how many positive integers with exactly four decimal digits, that is, positive integers between 1000 and 9999 inclusive, have distinct digits :

Sagot :

The number of positive integers with exactly four decimal digits that is positive integers between 1000 and 9999 is 4536.

The positive integers between 1000 and 9999 inclusive have 4 digits.

The first digit cannot be zero because otherwise, it will become a  digit integer.

So, the first digit can be filled in 9 ways.

The second digit can be filled by 9 different ways.

Because the second digit cannot be the same as that of the first digit but zero can be the second digit.

The third digit can be filled by 8 different ways.

The fourth digit can be filled in 7 different ways.

Number of four decimals digits = 9 * 9 * 8 * 7

= 81 * 8 * 7

= 81 * 56

= 4536 digits.

Learn more about the positive integers here:

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