Questions: The number of ways in which a series of successive things can occur is found by multiplying the number of ways in which each thing can occur. This is called the Multiplication Principle.

The number of ways in which a series of successive things can occur is found by multiplying the number of ways in which each thing can occur. This is called the Multiplication Principle.

Transcript text: The number of ways in which a series of successive things can occur is found by multiplying the number of ways in which each thing can occur. This is called the Multiplication Principle.

Solution

Solution Steps

Step 1: Identify the missing words

The question is asking to fill in the blanks to complete a statement about the number of ways a series of successive things can occur. The first blank requires a mathematical operation, and the second blank requires the name of a principle.

Step 2: Determine the mathematical operation

The number of ways a series of successive things can occur is found by multiplying the number of ways each thing can occur. This is because the total number of outcomes is the product of the number of outcomes for each individual event.

Step 3: Identify the principle

The principle being described is the Fundamental Counting Principle, which states that if one event can occur in \( m \) ways and a second event can occur in \( n \) ways, then the two events can occur in \( m \times n \) ways.

Final Answer

The number of ways in which a series of successive things can occur is found by multiplying the number of ways in which each thing can occur. This is called the Fundamental Counting Principle.

\\(\boxed{\text{The number of ways in which a series of successive things can occur is found by multiplying the number of ways in which each thing can occur. This is called the Fundamental Counting Principle.}}\\)

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