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Learning Target C2 Core: I can compute combinations and permutations and apply these to formulate and solve counting problems. 1. Give the expression for each of the following (please leave your answer in terms of factorials, as relevant): (a) There are 66 people in this class. How many ways are there to form a group of 10 students from class? (Order doesn't matter) (b) How many ways can those 10 students (from our class) to line up for a class photo?

Learning Target C2 Core: I can compute combinations and permutations and apply these to formulate and solve counting problems. 1. Give the expression for each of the following (please leave your answer in terms of factorials, as relevant): (a) There are 66 people in this class. How many ways are there to form a group of 10 students from class? (Order doesn't matter) (b) How many ways can those 10 students (from our class) to line up for a class photo?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.2: Systems Of Linear Equations In Two Variables
Problem 38E
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Learning Target C2 Core: I can compute combinations and permutations and apply these to formulate and solve counting problems. 1. Give the expression for each of the following (please leave your answer in terms of factorials, as relevant): (a) There are 66 people in this class. How many ways are there to form a group of 10 students from class? (Order doesn't matter) (b) How many ways can those 10 students (from our class) to line up for a class photo? 2. In poker, a straight flush is five cards in sequence that are all the same suit. For example, A, 24, 34, 44, 54 is a straight flush. How many straight flushes are possible in five-card poker? Note: write your answers as a product of combinations. (Hint: how many ways to pick the lowest card in the straight? Hint 2: Ace can be low and high, so A = 1 and A = 14).
Transcribed Image Text:Learning Target C2 Core: I can compute combinations and permutations and apply these to formulate and solve counting problems. 1. Give the expression for each of the following (please leave your answer in terms of factorials, as relevant): (a) There are 66 people in this class. How many ways are there to form a group of 10 students from class? (Order doesn't matter) (b) How many ways can those 10 students (from our class) to line up for a class photo? 2. In poker, a straight flush is five cards in sequence that are all the same suit. For example, A, 24, 34, 44, 54 is a straight flush. How many straight flushes are possible in five-card poker? Note: write your answers as a product of combinations. (Hint: how many ways to pick the lowest card in the straight? Hint 2: Ace can be low and high, so A = 1 and A = 14).
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