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How many integers between 0 and 999 (up to 3 digits) contain only the digits 0,1,4,6,7 and 8?

How many integers between 0 and 999 (up to 3 digits) contain only the digits 0,1,4,6,7 and 8?

Grade:12th pass

2 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
Dear student

Since the condiction of non repeating numbers is not mentioned

we will assume repeating case as valid

Let the first number be 1

1,_,_

6 ways of filling second digit

and 6 ways of filling 3rddigit

ie 36 ways

similary first number can be chosen in 5 ways

so total numbers 5 * 36 =180

Regards

Arun
25763 Points
one year ago
Dear Student
 
we will assume repeating case as valid
 
Let the first number be 1
 
1,_,_
 
6 ways of filling second digit
 
and 6 ways of filling 3rddigit
 
ie 36 ways
 
similary first number can be chosen in 5 ways
Hence numbers = required answer = 36 x 5 = 180

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