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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 10336 Points
2 years 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
25758 Points
2 years 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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