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

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) $\frac { 1 } { 6 } ; \frac { 1 } { 36 } ; \frac { 1 } { 360 } ; \frac { 1 } { 3 }$