(a) If the order of the choices is relevant, how many ways can this be done? 28 (b) If the order of the choices is not relevant, how many ways can this be done? 20160

Q: Suppose we want to choose 5 letters, without replacement, from 15 distinct letters. (a) How many…

A: Solution-: Here, n=15,r=5 We want to choose 5 letter, without replacement from 15 distinct letter.…

Q: Suppose we want to choose 5 letters, without replacement, from 14  distinct letters. (a) If the…

A: To find : If the order of the choices matters, how many ways can this be done?

Q: Consider 2 classes, the first with 5 students, and the second with 7 students. From this group of…

A: Given data 2 classes First with 5 students and second with 7 students 2 students need to be selected

Q: Suppose we want to choose 6 letters, without replacement, from 8 distinct letters. (a) How many…

A: Number of choosen letters (r) = 6 Total number of letters (n) = 8  Consider a situation where r…

Q: Q2. Count the number of seven-card hands that can be drawn from a standard deck such that the hand…

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Q: Numerical Response #4: A close who will get to ride to grad in an girls in the limo then there are

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Q: uppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. (a)…

A: It is given that 5 letters A, B, C, D and E.

Q: (a) In how many ways can 8 books be choosen from a group of nine? Your answer is: (b) How many ways…

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Q: 8. Solve. (a) In how many ways can a committee of 3 students be formed from 10 students if one…

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Q: You are planning a vacation to Patagonia. You have a choice of 4 hotels at which to stay, and a…

A: Given In Patagonia, there are 4 hotels, 3 different car rental companies and Patagonia provide 5…

Q: the same nationality are

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Q: Suppose we want to choose 5 letters, without replacement, from 17 distinct letters. (a) How many…

A: Solution:In this problem we want to choose  letters, without replacement, from  distinct letters.(a)…

Q: using technolgy to find teh number of ways 17 employees can be chosen from 200

A: We have given that Total number of employees (n) = 200 Number of employees to be selected(r) =17…

Q: Suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple,…

A: Given,Total no.of colors=5 (red,blue,green,purple and yellow)

Q: how many ways can Dr. Yes invite 8 of his friends if he has to invite at most 4 at a time?

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Q: of 2 3. If you read 20 books this year, a. How many different sets of 6 books could you recommend…

A: Total number of books read this year, n = 20(a) To find the number of different sets of 6 books that…

Q: You are planning a vacation to Patagonia, You have a choice of 3 hotels at which to stay, and a…

A: There are 3 choice of staying hotels, 5 different choices to use car rental companies and 4…

Q: Suppose we want to choose  3  colors, without replacement, from the  4  colors red, blue, green, and…

A: It is given that there 4 colors red,blue,green and purple.  and we need  to choose 3 colors without…

Q: Q9. A search committee was formed to find a new software engineer from a set of 50 applicants. The…

A: From the given information, the number of candidates selected for an interview (n) is 8 and the…

Q: Suppose we want to choose 2 objects, without replacement, from the 5 objects pencil, eraser, desk,…

A: a)There is total 5 objects.

Q: How many different ways are there to select a group of 3 out of 7 people for a cyber-sport team with…

A: If a process is done in two phases in which the first phase can be done in m ways and the second…

Q: Find the following The Number of ways to choose 2 out of 4 things (order does not matter) (a) .The…

A: From the provided information, The number of ways to choose 2 out of 4 things need to be calculated.

Q: You are planning a vacation to Patagonia. You have a choice of 5 hotels at which to stay, and a…

A: There are 5 choices of hotel, 4 different choices of car rental companies, and 3 different offers…

Q: (b) A flowerpot contains 5 red roses and 7 yellow roses. Hana randomly selects some roses from the…

A: Given that the flowerpot contains 5 red roses and 7 yellow roses.

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A: Let,P= pencil E= eraser D= deskHere we are using the formulae for permutation and combinations.

Q: Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. (If…

A: given data,  we want  to choose 2 letters, ,without replacement  letters A,B,C,D  and Ewe have to…

Q: (a) Use the multiplicative principle to explain why the number of ways we can select five numbers…

A:

Q: Q9. A search committee was formed to find a new software engineer from a set of 50 applicants. The…

A:

Q: ❎❎♦️♦️♦️✅✅❎♦️

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Q: You are ordering an extra large pizza with multiple toppings on it. In how many ways can 8 different…

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Q: In a city, the bus route numbers consist of a natural number less than 100, followed one of the…

A: In a city, the bus route numbers consist of a natural number less than 100, followed one of the…

Q: An event planner is deciding what food to include in a buffet. The caterer has offered 10 cold…

A: a) There is total 10 cold dishes and 6 hot dishes. Hence, the total number of dishes are, 10 + 6 =…