How many numbers greater than 800 & less than 4000 can be made with the digits 0, 1, 2, 4, 5, 7, 8,9 where no repetition of the digit is allowed? 504 405 853 900
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We have to form numbers between 800 to 4000.This can be done in two parts..
(1)Three digits numbers from 801 to 999.
Total numbers are 2*7*7-1=97
Hundredth digit from 8,9 =2
Tenth digit from 0,1,2,4,5,8,9 =7
unit digit from 0,1,2,4,5,8,9 =7
800 should omitted
(2)Four digits numbers from 1000 to 3999
Total numbers are 2*7*7*7=686
Thousandth digit from 1,2 =2
Hundredth digit from 0,1,2,4,5,8,9 =7
Tenth digit from 0,1,2,4,5,8,9 =7
unit digit from 0,1,2,4,5,8,9 =7
Hence 97+686=783 numbers can be formed.
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504 is the answer due to r repetition not allowed
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