Question

Use an appropriate rule of counting. If a couple plans to have four children, how many different gender sequences can be formed?

   Use an appropriate rule of counting.
If a couple plans to have four children, how many different gender sequences can be formed?

Intermediate Algebra

Intermediate Algebra

Julie Miller, Molly… 5th Edition

Chapter 11, Problem 64

Instant Answer

Solved by Expert Ankit Gupta

06/27/2020

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Use an appropriate rule of counting. If a couple plans to have four children, how many different gender sequences can be formed?

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Key Concepts

Exponential Counting

Exponential counting is used when the same number of outcomes is repeated in a sequence of independent events. For example, when an event with k possible outcomes is repeated n times, the total number of different sequences is given by k raised to the power of n (k^n). This concept is particularly useful in analyzing scenarios with repeated binary or multiple-choice outcomes.

Fundamental Counting Principle

This principle states that if one event can occur in m ways and a subsequent independent event can occur in n ways, then the total number of outcomes for the sequence of events is m multiplied by n. It is a basic tool in combinatorics used to determine the total number of sequences or combinations when multiple independent choices are involved.

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