SOLUTION: How many numbers less than 1000 can be made from the eight digits 0,1,2,3,4,5,6,7?

Algebra.Com
Question 343800: How many numbers less than 1000 can be made from the eight digits 0,1,2,3,4,5,6,7?
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


8 ways to pick the hundreds digit times 8 ways to pick the tens digit times 8 ways to pick the ones digit is 512

Then you have the same 512 for the negative numbers

So 1024 but you have to subtract one because of counting 0 twice hence 1023

John

My calculator said it, I believe it, that settles it


RELATED QUESTIONS

Find how many different odd 4-digit numbers less than 4000 can be made from the digits... (answered by Edwin McCravy)
How many numbers consisting of 5 digits can be made from 1, 2, 3, 4, 5, 6, 7, 8,... (answered by vleith)
How many numbers can be formed with five different digits from {0, 1, 2, 3, 4, 5, 6, 7}... (answered by Edwin McCravy)
How many odd numbers less than 1000 can be formed by using the digits 0, 3, 5, 7 when... (answered by stanbon)
How many numbers less than 10000 can be made with the eight digits... (answered by Edwin McCravy)
how many four digit numbers can be formed from the digits 1 2 3 4 5 6... (answered by checkley79)
How many 3 digit numbers can be formed less than 450 with and without repetition from the (answered by ikleyn)
How many multiples of 3 less than 1000 can be formed from the digits 2, 5,... (answered by jsmallt9,Alan3354)
How many odd numbers that exceed 1000 can be formed from the digits 0, 1, 2, 3 and 4 if... (answered by Edwin McCravy)