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in Permutations and combinations by (15 points)
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From 0,1,2,3,4 how many three digit even numbers can be made?

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2 Answers

+2 votes
by (45.9k points)

Total even numbers = 4 x 5 x 3 = 60 (If digits can be repeated)

by (15 points)
+1
Thankyou very much, but what if repetition is not allowed?
+3 votes
by (40.7k points)

Case I: If 1st digit is an even number

Total such possible numbers  = 2 x 3 x 2 = 12

Case II: If 1st digit is an odd number.

Total such possible numbers = 2 x 3 x 3 = 18

\(\therefore\) Total numbers when repetition is not allowed

= 12 + 18 = 30

by (15 points)
+2
Thankyou very much.☺

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