Question

how many integers from 100 to 999 ,both inclusive , don't contain any of the digit 2,3,4or5​

Answer 1

Answer:

586

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Answer 2

Answer:

180

Step-by-step explanation:

The integers we are looking for have 3 digits.

We have three cases :

Case 1 : The hundreds

Case 2 : The tens

Case 3 : The ones

For the first number we have 5 choices : 1,6,7,8,9

For the second number we have 6 choices : 0,1,6,7,8,9

For the third number we also have 6 choices : 0,1,6,7,8,9

For a total of : 5*6*6 = 180 integers from 100 to 999 (both inclusive) that don't contain the digits 2,3,4 or 5