Compute Probabilities Involving Permutations and Combinations
-Six Students, A, B $C$

question 20

Multiple Choice

Compute Probabilities Involving Permutations and Combinations
-Six students, A, B, C, D, E, F, are to give speeches to the class. The order of speaking is determined by random selection. Find the probability that (a) E will speak first (b) that $C$ will speak fifth and $B$ will speak last (c) that the students will speak in the following order: DECABF (d) that A or B will speak first.

• A) \(\frac { 1 } { 6 } ; \frac { 1 } { 24 } ; \frac { 1 } { 720 } ; \frac { 1 } { 3 }\)
• B) \(\frac { 1 } { 6 } ; \frac { 1 } { 12 } ; \frac { 1 } { 720 } ; \frac { 1 } { 3 }\)
• C) \(\frac { 1 } { 6 } ; \frac { 1 } { 36 } ; \frac { 1 } { 720 } ; \frac { 1 } { 12 }\)
• D) \(\frac { 1 } { 6 } ; \frac { 1 } { 36 } ; \frac { 1 } { 360 } ; \frac { 1 } { 3 }\)

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Definitions:

Service Dominant Logic

A perspective that sees service, rather than goods, as the fundamental basis of exchange and views all economic activity as service.

Marketing Mix

The combination of factors that can be controlled by a company to influence consumers to purchase its products, traditionally categorized as product, price, place, and promotion.