Combinatorial analysis is a branch of mathematics that develops methods for performing counts efficiently. And counting problems can be present in different everyday situations, for example, in the combination of numbers in a lottery game, on license plates, among other situations. Consider a situation where a scientific researcher needs to choose three guinea pigs from a group of eight guinea pigs for an experiment. Determine the number of ways he can make the choice.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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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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1. Combinatorial analysis is a branch of mathematics that develops methods for performing counts efficiently. And counting problems can be present in different everyday situations, for example, in the combination of numbers in a lottery game, on license plates, among other situations.
Consider a situation where a scientific researcher needs to choose three guinea pigs from a group of eight guinea pigs for an experiment. Determine the number of ways he can make the choice.

 

PS to the expert: The following image with a,b,c,d,e  alternatives  translated from Portuguese to English are:

Combinação = Combination

Arranjo = Arrangement

Permutação = Permutation

 

 

O A
OB
O C
O D
OE
8!
Combinação: C8,3
-= 56
3!. (8-3)!
=-
Combinação: C8,8 ==
Arranjo: A8,3 =-
Arranjo: A8,8 =
8!
(8-3)!
8!
8!-(8-8)!
-= 336
8!
(8-8)!
=
-= 40.320
Permutação: P3 = 3·2·1= 6
1
Transcribed Image Text:O A OB O C O D OE 8! Combinação: C8,3 -= 56 3!. (8-3)! =- Combinação: C8,8 == Arranjo: A8,3 =- Arranjo: A8,8 = 8! (8-3)! 8! 8!-(8-8)! -= 336 8! (8-8)! = -= 40.320 Permutação: P3 = 3·2·1= 6 1
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