(i) CarLand is a car dealership with 22 sales staff. They decide to select 8 staff to be trained as electric car specialists. How many different sets of 8 staff can they select for training? (ii) CarLand's staff work in two shifts, with 11 people on each shift. Each staff member always works the same shift. CarLand decide that they need to have 4 electric car specialists in each shift. How many different sets of 8 staff can they select for training now? (iii) If instead CarLand decide that they need only have at least 3 specialists in each shift, but still want 8 specialists in total, how many different sets of 8 staff can they select for training now?

(i) CarLand is a car dealership with 22 sales staff. They decide to select 8 staff to be trained as electric car specialists. How many different sets of 8 staff can they select for training? (ii) CarLand's staff work in two shifts, with 11 people on each shift. Each staff member always works the same shift. CarLand decide that they need to have 4 electric car specialists in each shift. How many different sets of 8 staff can they select for training now? (iii) If instead CarLand decide that they need only have at least 3 specialists in each shift, but still want 8 specialists in total, how many different sets of 8 staff can they select for training now?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

(i) CarLand is a car dealership with 22 sales staff. They decide
to select 8 staff to be trained as electric car specialists. How many
different sets of 8 staff can they select for training?
(ii) CarLand's staff work in two shifts, with 11 people on each shift.
Each staff member always works the same shift. CarLand decide
that they need to have 4 electric car specialists in each shift. How
many different sets of 8 staff can they select for training now?
(iii) If instead CarLand decide that they need only have at least 3
specialists in each shift, but still want 8 specialists in total, how
many different sets of 8 staff can they select for training now?

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