Suppose we want to choose 7 colors, without replacement, from 10 distinct colors. (a) If the order of the choices matters, how many ways can this be done? 11 (b) If the order of the choices does not matter, how many ways can this be done? 0

Q: Suppose we want to choose  4  colors, without replacement, from  16  distinct colors.(If…

A: The objective of this question is to calculate the number of ways to choose 4 colors from 16…

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: permutation problem: A company that makes crayons is trying to decide which 3 colors to include in a…

A: The complexity of using factorials to calculate the permutation led to the error you experienced.…

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: 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: How many ways can 7 students standing in a line be arranged John must be first in line and Chloe be…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: There are N employees at a new company, and they are forming a union. How many ways are there to…

A:

Q: Suppose we want to choose 4 colors, without replacement, from 18 distinct colors. How many ways…

A: From the provided information, Total distinct colors = 18 Number of colors to be chosen = 4 If the…

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: please explain step by step, every concept in detail

A: To solve this problem, we can use the concept of combinations. Since the balloons of the same color…

Q: Suppose we want to choose 6 colors, without replacement, from 11 distinct colors. (a) If the order…

A: GivenTotal no.of distinct colors(n)=11No.of colors to choose(r)=6

Q: Suppose we want to choose 5 colors, without replacement, from 14 distinct colors. (a) How many ways…

A:

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: Suppose we want to choose  6  colors, without replacement, from  9  distinct colors.(If…

A: The objective of this question is to calculate the number of ways to choose 6 colors from 9 distinct…

Q: You have one pile of 12 building blocks, each one a different color, and you also have another pile…

A:

Q: Suppose we want to choose 4 colors, without replacement, from 16 distinct colors. (a) How many ways…

A: Order matters ( Permutation )  Order doesn't matter ( Combination )   Total(N) = 16 colors  4 colors…

Q: You have one pile of 10 building blocks, each one a different color, and you also have another pile…

A:

Q: in hpw many ways can we arrange 6 cats followed by 4 dogs in a line if there are 9 cats and 6 dogs…

A: arrange 6 cats followed by 4 dogs in a line if there are 9 cats and 6 dogs to choose from.

Q: Suppose we want to choose 2 colors without replacement, from the 4 colors red,blue,green, and…

A: a.Find the number of ways in which 2 colours can be chosen among the 4 colours without giving…

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

A: 4 colours : {red,blue,green,purple}select 3 colours at random without replacement(A) no. of ways to…

Q: Suppose we want to choose 4 letters, without replacement, from 18 distinct letters. (a) How many…

A: Permutation and combination are the techniques for estimating the number of ways of selecting the…

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: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

A:

Q: Suppose we want to choose 4 colors, without replacement, from 18 distinct colors. (a) How many…

A: :   1) number of ways to select 'x' persons from 'n' persons is  = (n!)/(x!(n - x)!) .  2) number of…

Q: how many ways can a teacher sit 12 students in two rows of 6 chairs if Bobby must sit in the front…

A: Given: Total number of students = 12 Number of seats in each row = 6 Bobby is in first row and Billy…

Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

A:

Q: (3) The soccer team is silk-screening T-shirts. They have 4 different colors of T-shirts and 2…

A: We have to slove above question