SOLUTION: 1. How many 6-digit numbers containing 3,2 & 1 (repitition allowed)? 2. How many 6-digit numbers containing two 0, two 1 & two 2 can be constructed(number must not begin with 0)

Algebra ->  Permutations -> SOLUTION: 1. How many 6-digit numbers containing 3,2 & 1 (repitition allowed)? 2. How many 6-digit numbers containing two 0, two 1 & two 2 can be constructed(number must not begin with 0)       Log On


   

Question 481932: 1. How many 6-digit numbers containing 3,2 & 1 (repitition allowed)?
2. How many 6-digit numbers containing two 0, two 1 & two 2 can be constructed(number must not begin with 0)
3. How many 4-digit numbers in terbary numeral system containing two 0, can be constructed? (number must not start with zero.)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1)
There are 3 choices for each digit
+3%2A3%2A3%2A3%2A3%2A3+=+729+
(2)
There are 2 choices for the 1st digit
+2%2A3%2A3%2A3%2A3%2A3+=+486+
(3)
There are 3 choices for the 1st digit ( 1,2,or 3 )
+3%2A4%2A4%2A4+=+192+