find the number of even positive integers which have three digits.

Dear student
For the numbers to be even, the unit's place can be filled up byany one of the numbers 0,2,4,6,8.Thus, there are 5 ways of filling upthe unit's place.The ten's place can be filled up by any one of the ten numbersin 10 ways.The hundred's place cannot have 0, it can be filled up by any oneof the remaining nine numerals in 9 ways.Required no. of numbers=5×10×9=450
Regards

  • 17
450
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A.P. : 100,102,104_____998. ( Three digit ) 998 = 100 + (n-1)2. Solve this ans will be 450.
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450
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if numbers are to filled using digits from 0-9 and no repetition is allowed then number of even positive integers
= 8*9*5
=360 numbers
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