A group of 13 workers decides to send a delegation of 3 to their supervisor to discuss their grievances. Complete parts (a) through (c) below. (a) How many delegations are possible? There are 286 delegations possible. (b) If it is decided that two particular workers must be in the delegation, how many different delegations are possible? There are 11 delegations possible. (c) If there are 4 machinists in the group, how many delegations would include at least 1 machinist? There are delegations possible.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 84E
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A group of 13 workers decides to send a delegation of 3 to their supervisor to discuss their grievances. Complete parts (a) through (c) below.
(a) How many delegations are possible?
There are 286 delegations possible.
(b) If it is decided that two particular workers must be in the delegation, how many different delegations are possible?
There are 11 delegations possible.
(c) If there are 4 machinists in the group, how many delegations would include at least 1 machinist?
There are
delegations possible.
Transcribed Image Text:A group of 13 workers decides to send a delegation of 3 to their supervisor to discuss their grievances. Complete parts (a) through (c) below. (a) How many delegations are possible? There are 286 delegations possible. (b) If it is decided that two particular workers must be in the delegation, how many different delegations are possible? There are 11 delegations possible. (c) If there are 4 machinists in the group, how many delegations would include at least 1 machinist? There are delegations possible.
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