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How many 3-digit even numbers can be formed from the digits 1,

Question

How many $3$ -digit even numbers can be formed from the digits $1, 2, 3, 4, 5, 6$ if the digits can be repeated?

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Camila Discussed

How many

3

-digit even numbers can be formed from the digits

1, 2, 3, 4, 5, 6

if the digits can be repeated?

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

A three digit even number is to be formed from given

6

digits

1, 2, 3, 4, 5, 6

□□□ H TO

Since, for the number is to be even , so ones place can be filled by

2, 4

6

. So, there are

3

ways to fill ones place.

Since, repetition is allowed , so tens place can also be filled by

6

ways.

Similarly,hundreds place can also be filled by

6

ways.

So, number of ways in which three digit even numbers can be formed from the given digits is

6 \times 6 \times 3 = 108

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Question Text	How many $3$ -digit even numbers can be formed from the digits $1, 2, 3, 4, 5, 6$ if the digits can be repeated?
Answer Type	Text solution:1
Upvotes	150