Solve the Problem $123,124,134,234$ $\mathrm { P } ( 4,3 ) = 4$

question 19

Multiple Choice

Solve the problem.
-List all the ordered arrangements of 4 objects 1, 2, 3, and 4 choosing 3 at a time without repetition. What is P(4,3) ?

• A) \(123,124,134,234\)
• \(\mathrm { P } ( 4,3 ) = 4\)
• B) \(123,124,132,142,143,213,214,231,241,243,312,314,321,341,342,412,413,421,423,431\) \(\mathrm { P } ( 4,3 ) = 20\)
• C) \(111,112,113,114,121,122,123,124,131,132,133,134,141,142,143,144,211,212,213,214,221,222,223\), \(224,231,232,233,234,241,242,243,244,311,312,313,314,321,322,323,324,331,332,333,334,341,342\), \(343,344,411,412,413,414,421,422,423,424,431,432,433,434,441,442,443,444\) \(\mathrm { P } ( 4,3 ) = 64\)
• D) \(123,124,132,134,142,143,213,214,231,234,241,243,312,314,321,324,341,342,412,413,421,423,431\), 432 \(\mathrm { P } ( 4,3 ) = 24\)

---

Definitions:

Genotypic

Relating to the genotype, which comprises the entire set of genes in an organism that influence inherited traits.

Recessive

A genetic term referring to an allele that produces its characteristic phenotype only when its paired allele is identical.

Dominant

Influential, controlling, or prevailing over others, often used in both social and biological contexts to describe an entity with superior power or genes.

Genetic Counseling

The discipline that focuses on helping people deal with issues relating to inherited disorders.