SOLUTION: How many 5-digit numbers between 25000 and 29999 can be made if no digits are repeated

Question 963698: How many 5-digit numbers between 25000 and 29999 can be made if no digits are repeated
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

Let the number be ABCDE, where the 5 letters represent the 5 digits.

1. There is only 1 choice for A.  It must be 2.  
2. There are 5 choices for B. They are 5,6,7,8,9, to make the number be between
   25000 and 29999. 
3. There are 8 choices for C, since 2 of the 10 digits have already been chosen.
4. There are 7 choices for D, since 3 of the 10 digits have already been chosen. 
5. There are 6 choices for E, since 4 of the 10 digits have already been chosen.


Answer: 1*5*8*7*6 = 1680

Edwin

RELATED QUESTIONS
How many numbers between 300 and 300 can be made from the digits 0,1,2,3,4 and 5 if no... (answered by ikleyn)

how many 3 digit numbers can be made using the digits 1,2,3,4,6,7 if no digits are... (answered by ewatrrr)

How many numbers of 5 digits can be made from the digits 1,2,3,4,5,6,7,8 and 9 when each... (answered by ikleyn)

Find how many different odd 4-digit numbers less than 4000 can be made from the digits... (answered by Edwin McCravy)

How many different 5 digit vehicle number plates can be made if the first digit must not... (answered by Fombitz)

How many 5-digit numbers exist between 65,000 and 69,999 if each number has no repeated... (answered by vleith)

find how many no between 5000 and 6000 can be formed from the digits 1,2,3,4,5,6 a) if... (answered by jim_thompson5910)

How many three-digit numbers can be formed using the digits 2,3,5,7,8 if the number is... (answered by ikleyn)

Using the digits 0-9, how many six digit numbers can be formed if no digits can be... (answered by ikleyn)