SOLUTION: how many 3 digit numbers can be formed using 0,1,2, and 3 if no 2 digits are the same?
the solution used was H T U = 3 x 3 x 2 = 18
i didn't get how hundreds, tens, and unit
Algebra.Com
Question 890639: how many 3 digit numbers can be formed using 0,1,2, and 3 if no 2 digits are the same?
the solution used was H T U = 3 x 3 x 2 = 18
i didn't get how hundreds, tens, and unit became 3 x 3 x 2. is there a way for me to easily understand?
thanks in advance.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
For each of the possible choices for the hundreds digit,
you have choices for the tens digit,
making choices for the first two digits.
Then for each of those choices,
you have choices for the last digit,
for a total of
choices.
You cannot use 0 as the first (hundreds) digit, because it would really make a two-digit number.
You have only 3 choices (1, 2, or 3) for the hundreds digit.
The number of possible choices for the hundreds is .
For each of those choices, you have have eliminated one of the digits listed above,
but for the other digits you can also use 0.
As you have 3 digits not yet used that you can use for the tens and units digits,
the number of possible choices for the tens digit is .
Each possible choice of hundreds and tens digits leaves you two digits not yet used,
so the number of possible choices for the units digit is .
RELATED QUESTIONS
PLS HELP... ASAP...
1. Write all the three digit numbers using the digits 4,6 and 8... (answered by edjones)
Four-Digit Number. How many four-digit numbers can be formed using the digits 0, 1, 2, 3, (answered by MathLover1,jilalbenkad)
How many 3 digit numbers can be formed using the digits 0 and 1? (answered by faiz19,Alan3354)
How many numbers of 5 digits can be formed with the digits 0, 1, 2, 3, 4, 6 & 8 with no... (answered by Edwin McCravy)
How many 3-digits numbers can be formed using the digits
from 1 to 5 if the digit 2 is... (answered by Edwin McCravy)
How many 7-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, and 8 if... (answered by hitarth)
If no digit may be used more than once, how many 3-digit numbers can be formed using only (answered by Alan3354)
If no digit may be used more than once, how many five- digit numbers can be formed using... (answered by ikleyn)
How many three-digit numbers can be formed using the digits 2,3,5,7,8 if the number is... (answered by ikleyn)