Question 162584: can someone help please
Use the multiplication principle to solve the problem.
How many different 5-digit sequences can be formed using the digits 0,1, ...7 if repetition of digits is allowed?
a. 16,807
b. 120
c. 35
d. 32,768
Answer by Edwin McCravy(20056)   (Show Source):
You can put this solution on YOUR website!
0,1,2,3,4,5,6,7 consists of 8 different digits.
Let's take a randomly selected sample 5-digit sequence:
67062
How many choices of digits are there to go where the
first 6 in that sample 67062 is? Answer: 8
How many choices of digits are there to go where the
7 in that sample 67062 is? Answer: 8
How many choices of digits are there to go where the
0 in that sample 67062 is? Answer: 8
How many choices of digits are there to go where the
second 6 in that sample 67062 is? Answer: 8
How many choices of digits are there to go where the
2 in that sample 67062 is? Answer: 8
So that's 8x8x8x8x8 = 32,768 ways. Choice (d).
Edwin
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