Determine if the following scenarios represent combinations or permutations.a. How many ways are there to pick 3 astronauts to go to the moon out of 10 candidates?Select an answerb. How many different ways are there to pick 3 astronauts to go to the moon, when one will be captain, onenavigator, and one science officer? Select an answerc. If there are 12 runners in a race, how many different orders could the all 12 runners finish?Select an answerd. If there are 12 runners in a race, and prizes are given for first, second, and third places, how manydifferent orders are there for the top 3 places? Select an answere. If there are 12 runners in a race, and 3 runners are randomly chosen out of the 12 for drug testing, howmany different ways can these 3 be chosen?Select an answer

Both Permutations and combinations are used to arrange the selection of k units from a set of…

Answered: Determine if the following scenarios…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A computer package comes with two different choices of printer, four different monitors, and 2 different colors. How many ways are there to choose a printer, a monitor, and a color? O a. 64 O b. 512 Oc. 16 O d. 158
A committee of 5 people is to be formed from the following 10 people: Len, Mia, Max, Ted, Mel, Ann, Jim, Tim, Moe, Kim. How many combinations are there if there must be exactly 3 people on the committee whose names start with 'M'? Select one: O a. 10C5 O b. Oc. O d. 10P5 (4C3) (6C₂) (4P3) (6P2)
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A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 from part B, in how many ways can he choose the questions? Select one: O a. 12750 O b. 11340 O c. 320 O d. 40
A company sells regular hamburgers as well as a larger burger. Either type can include cheese, relish, lettuce, tomato, mustard, or ketchup. a. How many different hamburgers can be ordered with exactly 5 extras? b. How many different regular hamburgers can be made that use any 5 of the extras? c. How many different regular hamburgers can be ordered with at least 3 extras?
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Team Jet has 7 members who won a school competition. Of these 7, 4 members are randomly picked to receive prizes for winning. The 1st member selected wins a $50 gift card; the 2nd person selected wins a $25 gift card; the 3rd person selected wins a $10 gift card; the 4th person selected wins a $5 gift card.The names of Team Jet's members are represented by the first letter of their first names, as displayed in the following table: Name Frank Gina Harriet Inez Jakob Keven Liu Letter F G H I J K L In the box below, complete the remaining three rows of the list that models how to calculate the number of possible ways 4 team members can be selected to win the prizes.1) F G H I J K L Let Lui win the 1st prize, so select L.2) _________ _____________________________3) _________ _____________________________ 4) _________ _____________________________
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