how many three digit Even Numbers can be formed from the digits 123456 if the digits can be repeated
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Answered by
4
6×6×3 = 108...I.e ...108 nos. can be formed.
Shahbaz11:
full solve
Can u plz elaborate. I am unable to understand what u did
If at all three places all digits can repeat then the no. formed = 6×6×6.....but due to even no. we take only three no. in once place.....so total no. formed = 6×6×3
Hmm ok
ya
Answered by
6
Answer:
There are six ditferent digits with which 3 vacant places □□□ are filled up
satisfying the given conditions,
As the required 3-digit numbers are even, we start filling in unit's place and the options forlace are 2, 4, and 6 only. So uniť's place can be filled up in 3 different ways. Having filled
up unit's place, the ten's place can be filled up by any of the six digits 1, 2, 3, 4, 5 and 6 in six
different ways as the digits can be repeated. Similarly, the hundred's place can be filled up indif
6 ways.
therefore by the multiplication principle of Counting required number of 3 digit even numbers
= 3×6×6=108
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