A. Apply the fundamental principles of counting in solving the following problems. 1. The sailboat has different sizes. It can be 10 ft, 100 ft and 100+ ft aside from this, it also has 3 types of hull namely, monohulls, catamarans, and multi-hull crafts. How many variation of sailboats are there in all? 2. Sailboats are registered through HIN (Hull Identification Numbers) which consist of 10 alpha numeric characters. How many different HINS are 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.CR: Chapter Review
Problem 4CC: a In solving a problem involving picking r objects from n objects, how do you know whether to use...
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A. Apply the fundamental principles of counting in solving
the following problems.
1. The sailboat has different sizes. It can be 10 ft, 100 ft
and 100+ ft aside from this, it also has 3 types of hull
namely, monohulls, catamarans, and multi-hull crafts.
How many variation of sailboats are there in all?
2. Sailboats are registered through HIN (Hull
Identification Numbers) which consist of 10 alpha
numeric characters. How many different HINS are
possible?
3. There are 5 entrances and 4 exits sea routes in one
country, In how many ways can the sailboat enter and
exit from one country?
4. There are 10 sailmakers who are qualified to be
elected in the positions of Head, Vice Head and Key
Member. In how many ways can the officers be
formed?
Transcribed Image Text:A. Apply the fundamental principles of counting in solving the following problems. 1. The sailboat has different sizes. It can be 10 ft, 100 ft and 100+ ft aside from this, it also has 3 types of hull namely, monohulls, catamarans, and multi-hull crafts. How many variation of sailboats are there in all? 2. Sailboats are registered through HIN (Hull Identification Numbers) which consist of 10 alpha numeric characters. How many different HINS are possible? 3. There are 5 entrances and 4 exits sea routes in one country, In how many ways can the sailboat enter and exit from one country? 4. There are 10 sailmakers who are qualified to be elected in the positions of Head, Vice Head and Key Member. In how many ways can the officers be formed?
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