Is selecting the batting order in a baseball game a permutation or combination?

Hillard Ullrich asked a question: Is selecting the batting order in a baseball game a permutation or combination?
Asked By: Hillard Ullrich
Date created: Wed, Jun 16, 2021 1:59 AM



Those who are looking for an answer to the question «Is selecting the batting order in a baseball game a permutation or combination?» often ask the following questions:

❓ Random walk why combination not permutation problem?

In this article you’ll learn about Permutation and Combination problems: Definition, formulas, solved examples and a quiz with practice questions. Permutations Definition. Permutations are the different ways in which a collection of items can be arranged. For example: The different ways in which the alphabets A, B and C can be grouped together, taken all at a time, are ABC, ACB, BCA, CBA ...

❓ How to decide baseball batting order?

How is Batting Order Decided?Antonelli Baseball is the #1 online resource for baseball instruction. We breakdown the mechanical aspects of hitting, fielding,...

❓ How to arrange baseball batting order reddit?

There are a couple trains of thought for batting order, but I’ll give a general idea: First position is your leadoff hitter. This person should ideally be a good contact hitter. Speed here (for stealing bases) is a plus, but secondary.

9 other answers

Combination With a combination, we don't care in what order the players are placed - we only care that they are in the batting order somewhere. (It's like with a poker hand - we don't care that we drew the Ace of hearts first, the Ace of spades second, the Ace of diamonds third, and the Ace of clubs fourth - all that matters is that we have 4-of-a-kind in Aces).

7. Is choosing 2 toppings from a list of 8 for your pizza a permutation or combination? (1 point) permutation combination 8. How many different ways can you choose 3 frozen yogurt toppings from 20? (1 point) 6,840 1,140 60 2,260 9. Your class is electing a president and vice president. How many ways can a president and vice president be selected from 25? (1 point) 300 150 600 50 10. Is selecting the batting order in a baseball game a permutation or combination? (1 point) permutation combination

First of all, with combinations, the ORDER does NOT matter. With permutations, the ORDER DOES matter!! In this case, what you are trying to count is the number of ways to arrange a batting ORDER!! Obviously, the ORDER matters, so this is a permutation. You must choose a batting order choosing 9 people out of 13 players.

Permutation; 5,040 12) Selecting which seven players will be in the batting order on a 11 person team. Combination; 330 13) There are 15 applicants for four jobs: Computer Programmer, Software Tester, Manager, and Systems Engineer. Permutation; 32,760 14) A group of 45 people are going to run a race. The top three runners earn gold,

(a) A baseball team has nine players. Find the number of ways the manager can arrange the batting order. (b) Find the number of ways of choosing three initials from the alphabet if none of the letters can be repeated. Combinations As mentioned above, in a permutation the order of the set of objects or peo-ple is taken into account.

This is a permutation question because we care about the order of the players in the batting order. The general formula for a permutation is: P n,k = n! (n − k)!; n = population,k = picks. We have n = 16,k = 9. P 16,9 = 16! 7! = 16× 15 ×14 ×13 × 12× 11 × 10× 9 × 8 = 4,151,347, 200. Answer link.

They then treat the batting order as a distinct ordering of the $9$ starting players, so each of the $\binom{15}99!$ lineups can bat in any of $9!$ orders, and we get an answer of $\binom{15}9(9!)^2$.

When objects are arranged in a row, the permutation is called a linear permutation. Example #1 : On a baseball team, nine players are designated as the starting line up. Before a game, the coach announces the order in which the nine players will bat.

Play this game to review Algebra II. Determine whether the following scenarios are a permutation or a combination: Selecting a lead and an understudy for a school play.

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