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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Twelve people are on a committee, seven women and five men. If a four-person subcommittee is to be chosen, how many such subcommittees can be formed with exactly two men and two women? A. 31 B. 210 c. 4 D. 240
A child is building a tower with colored bricks. She has 22 bricks: 6 yellow, 6 blue, 1 green, and 9 red. She selects a brick at random to stack on the tower. Enter all answers as decimals and round to four places.
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)
In a certain suburban neighborhood, 20 families own minivans, 27 families own BMW sedans, and 9 families own neither a minivan nor a BMW sedan. There are are 40 families in the neighborhood. a. How many families own a minivan or a BMW sedan? b. How many families own a minivan and a BMW sedan? Thank you!
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?
Consider a popular ramen stall. Before the shop opens, there are 20people waiting in front of the restaurant The ramen shop only serve 10 bowls a day. The shop owner pick only 10 from20 people and kick the rest out. How many combinations of people who getsto eat are there? (Order doesn’t matter)
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) _________ _____________________________
There are 10 trivia teams (Teams A through J), each with 5 members. 16 areselected for an all-star team. How many ways are there to select an all-star team which includes all members from A, all members from B, all members from C, or all members from D?
From a group of 10 men and 12 women, only 5 will randomly sit down in a row of 5 chairs. How many different seating arrangements are possible if: i. at least 3 men must sit down? ii. Both John & Jack sit down, but not next to each other?

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