What is the number of distinguishable orders in which the marbles can be drawn, if marbles of the same color appear identical?

Q: How many arrangements are there of the letters of the word MATHEMATICS in which all the vowels…

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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 5 objects, with replacement for 8 distinct objects.  If the order of these…

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Q: A sales assistant is hanging 13 sweaters on a rack. He has 3 gray sweaters, 4 green sweaters, and 6…

A: Where, n= total number of sweaters=13n1=gray sweaters = 3n2=green sweaters = 4n3=brown sweaters = 6

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: c) List vertically all the ways each number 0-35 can be represented as a sum of two or more…

A: Assume that limiting the numbers to integers. Let's try a few and see if we can find a pattern:…

Q: There are 4 major roads from city x to city y and 3 major roads from city y to coty z. How many…

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Q: Determine the number of combinations that can be formed with 11 objects taken 7 at a time

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Q: Draw an ordered stemplot of these scores: 22, 32, 34, 30, 28, 19, 26, 18, 19, 20. List the 'leaves'…

A: Ordered data x 18 19 19 20 22 26 28 30 32 34

Q: When there are 99 dots there are how many chords.

A: Total dots=99We have to find total chords

Q: Find the distinct number of arrangements of the letters in the word “academia” that begin and end in…

A: letters of word academia we have to arrange letters so that it begin and end with a.

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: There are 12 players on a basketball team. A starting line up consists of a selec ive players to…

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Q: Suppose we want to choose 6 colors without replacement from 9 distinct colors

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Q: how many ways to choose 4 out of 10 candidates for the distict jobs

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Q: In how many different ways can 9 people arrange themselves in a line to receive service from a…

A: Given information: There are total 9 people arrange themselves in a line to receive service from a…

Q: In how many distinct orders can the sweaters be arranged if two sweaters of the same color are…

A: HERE GIVEN , A sales assistant is hanging 11 sweaters on a rack. He has 5 green sweaters, 3 pink…

Q: An order for an iPad Pro can specify any one of two sizes (iPad Pro 11‑inch, iPad Pro 12.9‑inch),…

A: Given data: An order for an iPad Pro can specify any one of two sizes (iPad Pro 11‑inch, iPad Pro…

Q: A computer user has downloaded 23 songs using an online file-sharing program and wants to create a…

A: GivenNo.of downloaded songs(n)=23no.of  songs to use in CD player(r)=8

Q: A sailboat owner received 5 different signal flags with his new sailboat. If the order in which the…

A: Given A sailboat owner received 5 different signal flags with his new sailboat.

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: A fashion designer needs to design a new shirt. She has 7 different types of materials, 14 different…

A: Given that there are 7 different types of materials, 14 different colors for each material, and 9…

Q: How many ordered lists are there of five items chosen from ten

A: According to the given information in this question We need to find the value of P(10,5) We know…

Q: A box of colored crayons contains 15 distinct colors. In how many ways can 4 colors be chosen,…

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Q: Assume that a grade of A, B, C, D, F, or NC is assigned to each of 10 students. In how many…

A: Given ,Grades are  A, B,C,D,F or NCTotal grades = 6No. of students = 10

Q: I have five different books that I want to read. How many different orders could I read them in?

A: There are 5 books amd i want to read them we want to find how many different orders could i read…