SOLUTION: How many four-digit numbers less than 6000 can be formed using the digits 2, 4, 6, 7, 8, and 9 with replacement? (i.e. digits can be repeated in the number, for example 2447 is acc

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Question 241777: How many four-digit numbers less than 6000 can be formed using the digits 2, 4, 6, 7, 8, and 9 with replacement? (i.e. digits can be repeated in the number, for example 2447 is acceptable.)
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
How many four-digit numbers less than 6000 can be formed using the digits 2, 4, 6, 7, 8, and 9 with replacement? (i.e. digits can be repeated in the number, for example 2447 is acceptable.)
 

You can choose the first digit as either 2 or 4.  That's 2 ways
to choose the first digit.

For each of those ways, you can choose the second digit any 
of the 6 ways.  

For each of those ways, you can choose the third digit any 
of the 6 ways.

For each of those ways, you can choose the fourth digit any 
of the 6 ways.

So the total number is 2x6x6x6 = 432 ways

Edwin