Describe the fundamental idea behind counting probabilities in a research article.

Describe the fundamental idea behind counting probabilities in a research article.
1. You are taking a multiple-choice test that has ten questions. Each of the questions
has five possible choices. If you select one of these five choices for each question
and leave nothing blank, in how many ways can you answer the test questions?
Explain your reasoning.
2. How many different 6-letter passwords can be formed from a standard 26 letter
alphabet
a. If repetition is not allowed and is not case-sensitive?
b. If repetition is allowed and is not case-sensitive?
c. If repetition is allowed and is case-sensitive?
Explain your reasoning.
3. How many different 6-character passwords can be formed from alphanumeric
characters
a. If repetition is allowed and is not case-sensitive?
b. If repetition is allowed and is case-sensitive?
Explain your reasoning.

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