How to calculate the highest 9 digit number using 8,7,6,5? How to calculate similar problems using different combinations?
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Solution
Since no limit of using a particular number is given, we have to consider lots of cases. Case 1: any number can be used any number of times then the largest number will be the largest number repeated 9 times. In this case it is 888888888 Case 2: if a number should be used atleast once, then the largest possible number is 888888765 Case 3: if a number should not be used for more than a maximum number of times, then the largest should be placed initially followed by the other numbers for eg if a number shouldnot be used for more than 3 times, then in this case we can write 8887776665
similarly lots of combinations and cases could be considered, unless a particular condition is specified in the question,.