SOLUTION: how many three digit numbers can be formed from 1,2,3,4,5,6,7,8,9 if repetition of digits are not allowed? a) 60 b) 343 c) 504 d) 729 e) none of the choices.

Algebra.Com
Question 531044: how many three digit numbers can be formed from 1,2,3,4,5,6,7,8,9 if repetition of digits are not allowed?
a) 60
b) 343
c) 504
d) 729
e) none of the choices.

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
There are 9 ways to pick the 1st digit

For each of those 9 ways there are 8 ways to choose the second digit.
That's 9×8 or 72 ways to pick the first two digits.

For each of those 72 ways there are 7 ways to choose the third digit.
That's 72×7 ways or 504 ways to pick all three digits.

Edwin

RELATED QUESTIONS

can someone help please How many 3-digit numbers can be formed using the digits 0, 1,... (answered by SAT Math Tutor)
1. How many different 4-digit numbers can be formed from the digits 2, 3, 4, 5, 6, 7, and (answered by Alan3354)
How many different 4-digit even numbers can be formed from the digits 1,3,5,6,8, and 9 if (answered by ikleyn)
can someone please help me with this problem: How many 3-digit numbers can be formed... (answered by jim_thompson5910)
How many 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if... (answered by robertb)
How many different 3-digit numbers can be formed from the digits 1,3,4,6,7,9 if... (answered by ikleyn)
1. Consider the numbers 2, 3, 4, 5, 6, and 7. How many two-digit numbers can be formed... (answered by richard1234,richwmiller)
how many 3-digit numbers can be made with the digit 1,2,3,4,5,6,7 if repetition is... (answered by ikleyn)
How many different two digit positive integers can be formed from the digits:0, 1, 2, 3, (answered by stanbon)