Learning Objective 19: use the multiplication rule and permutations to count outcomes of an event (9.2)
Question 3:
(a) A ternary string is a finite sequence of 0's, 1's, and 2's. How many ternary strings have length 10?
ternary strings
(b) How many ternary strings of length 10 end with four 2's?
If a ternary string of length 10 ends with four 2's, then
length 10 that end with four 2's is
(c) How many ternary strings of length 10 begin and end with a 1?
ternary strings
positions remain to be filled in. Since each of these positions can be filled with either a 0, a 1, or a 2, the number of ternary strings of