How many four-digit numbers can be formed by using only

Chapter , Problem 15

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QUESTION:

How many four-digit numbers can be formed by using only the digits 2, 4, 6, 8, and 9? How many of these have some digit repeated?

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QUESTION:

How many four-digit numbers can be formed by using only the digits 2, 4, 6, 8, and 9? How many of these have some digit repeated?

ANSWER:

Step 1 of 2

Given

The digits:

We have to be formed the four-digit numbers using  numbers.

Suppose the repeats of digits are not allowed:

In one’s place, we can use the any one of digits.

In ten’s place, we can use any one of  digits since the digits are not repeated.

In hundreds place, we can use any one of  digits.

In thousand’s place, we can use any one of remaining  digits.

So, the numbers of four-digit numbers are

.

Hence, the numbers of four-digit numbers that have no digits repeated are

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