SOLUTION: How many three-digit numbers can be formed using elements from the set if no element may be used more than once in a number and the number must be odd?

Question 410233:
How many three-digit numbers can be formed using elements from the set if no element may be used more than once in a number and the number must be odd?
Found 2 solutions by stanbon, sudhanshu_kmr:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How many three-digit numbers can be formed using elements from the set if no element may be used more than once in a number and the number must be odd?
---------------
Hundreds digit: 9 ways
Tens digit: 9 ways
Ones digit: 5 ways
-----------------------
Total number: 9*9*5 = 405
===============================
Cheers,
Stan H.
===========
Answer by sudhanshu_kmr(1152) (Show Source): You can put this solution on YOUR website!

no. of ways to put an odd digit at unit place = 5 [i.e 1,3,5,7 or 9]

no. of ways to put any other digit at 100's place = 8
( except '0' and that digit which at unit place)

similarly, no. of ways to put any digit at 10's place = 8
( any digit except at unit place and 100's place)

total no. of ways = 5*8*8 = 320

RELATED QUESTIONS
How many three-digit numbers can be formed using elements from the set {1, 2, 3, 4, 5, 6} (answered by Edwin McCravy)
How many three-digit numbers can be formed using elements from the set if no element may (answered by stanbon,solver91311)
How many three-digit numbers may be formed using elements from the set... (answered by KMST)
How many five-digit numbers can be formed using the elements from the set {2,3,4,7,8} if... (answered by sudhanshu_kmr)
How many three-digit numbers may be formed using the elements from the set {1,2,3,4,5}... (answered by ewatrrr)
how many even numbers between 300 and 800 can be formed using the elements from the set... (answered by Edwin McCravy)
How many odd three-digit numbers can be written using digits from the set {2,3,4,5,6} if... (answered by Fombitz)
how many three digit numerals for numbers divisible by five can be formed from the digits (answered by Edwin McCravy)
If no digit may be used more than once, how many 3-digit numbers can be formed using only (answered by Alan3354)