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How many 3-digit numbers can be formed by using the digits 0,

Question

How many $3 - d i g i t$ numbers can be formed by using the digits $0, 1, 3, 5, 7$ while each digit may be repeated any number of times?

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Emma Discussed

How many

3 - d i g i t

numbers can be formed by using the digits

0, 1, 3, 5, 7

while each digit may be repeated any number of times?

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

The hundred's place cannot contain

0

. So, it can be filled by any of the digits

1, 3, 5, 7

So, there are

4

ways to fill it.

Now, each of the ten's and unit's digits can be filled by any of the given five digits.

So, each can be filled in

5

ways.

∴

the required number of numbers

= (4 \times 5 \times 5) = 100

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Question Text	How many $3 - d i g i t$ numbers can be formed by using the digits $0, 1, 3, 5, 7$ while each digit may be repeated any number of times?
Answer Type	Text solution:1
Upvotes	150