the number of 3 digit even number that can be formed from the digit 0,1,2,3,4and5 repetition of digit being not allowed is
Answer (1)
2nd Nov, 2019
To get an even number the unit digit should be 0,2, 4 or 6 and hundred digit can't be 0.
If unit digit is 2, hundred digit can be 1,3,4,5 or 6 (5 possibilities) and tens digit can be 0 or any of the 4 digits remaining after filling hundreds place(5 possibilities). By fundamental principle of counting, no. of 3 digit numbers that can be formed=5*5=25.
Similarly, when units digit 4 (or 6), we get 25 numbers.
Now if units digit is 0, hundred digit can be 1,2,3,4,5,6 (6 possibilities) and tens digit can be any of the remaining 5 digits. So, no.of 3 digit numbers=5*6=30.
Hence, total no .of 3-digit numbers=25+25+25+30=105
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