Answer:
You can prove this statement as follows:
Step-by-step explanation:
An odd integer is a number of the form where
. Consider the following cases.
Case 1. If is even we have:
.
If we denote by we have that
.
Case 2. if is odd we have:
.
If we denote by we have that
This result says that the remainder when we divide the square of any odd integer by 8 is 1.
Using the Fundamental Counting Theorem, the sample size of these outcomes is of 12.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
Considering the number of options for Entree, Side and Drink, the parameters are:
n1 = 3, n2 = 2, n3 = 2.
Hence the sample size of outcomes is:
N = 3 x 2 x 2 = 12.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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