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Byju's Answer
Standard VII
Mathematics
Counting Principle
How many thre...
Question
How many three digit numbers can be formed using the digits
2
,
3
,
6
,
7
,
9
with repetition?
A
(
5
)
3
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B
(
3
)
5
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C
(
5
)
5
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D
(
3
)
3
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Solution
The correct option is
A
(
5
)
3
Given digits are
2
,
3
,
6
,
7
,
9.
We have to find total number of three digit numbers formed using given digits.
Three digit number consist of three places i.e unit's, ten's and hundredth place as shown:
Unit's place can be filled in
5
different ways using any of the given digits.
Similarly, ten's and hundredth place can also be filled in
5
different ways using any of the given digits because repetition of digits are allowed.
So, total three digit number formed are
=
5
×
5
×
5
=
(
5
)
3
.
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