Find the Indicated Term or Coefficient of the Binomial Expansion $( s - t ) ^ { 6 }$

question 157

Multiple Choice

Find the indicated term or coefficient of the binomial expansion.
-Find the 4 th term of the expansion of $( s - t ) ^ { 6 }$ .

• A) \(- 20 \mathrm {~s} ^ { 3 } \mathrm { t } ^ { 3 }\)
• B) \(s ^ { 2 } t ^ { 4 }\)
• C) \(- s ^ { 3 } t ^ { 3 }\)
• D) \(15 s ^ { 2 } t ^ { 4 }\)

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Definitions:

Gene Pool

The complete set of unique alleles in a species or population.

Genetic Drift

Mechanism of evolution due to random changes in the allelic frequencies of a population; more likely to occur in small populations or when only a few individuals of a large population reproduce.

Adaptive Radiation

Rapid evolution of several species from a common ancestor into new ecological or geographic zones.

Fossil Record

The collection of fossils, which are the preserved remains or traces of animals, plants, and other organisms from the remote past, providing evidence of the history of life on Earth.