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…

A:

Q: Suppose a designer has a palette of 15 colors to work with, and wants to design a flag with 2…

A: A palette of 15 colors to work with, and wants to design a flag with 2 vertical stripes, all of…

Q: Compute how many different ways there are to color the faces of a cube so that three faces are red,…

A:

Q: Twelve horses take part in a race. Amongst them are 4 brown horses, 4 mares and 4 black stallions.…

A: #Twelve horses take part in a race. Amongst them are 4 brown horses, 4 mares and 4 black stallions.…

Q: How many distinct arrangements of the letters in the word “footballers” are possible?

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: 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: obtain a 95% confidence interval for their mean.

A: Given : Sample Size, n = 41 Sample Mean, x̄ = 132 sample standard…

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: A mother, father, and their three children are to line up for a photo. In how many ways can these…

A:

Q: What is the number of distinct arrangements of all the letters in the word CELLPHONE

A: Useful formula: n!=n*(n-1)*(n-2)*(n-3)*..........*3*2*1

Q: A machine can give a signal by using five lights in a row. Each light can be either on or off. How…

A: There are total five lights and each of the lights is either on or off.

Q: A die is rolled four times consecutively. Find the number of possible outcomes if the order of the…

A:

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: Use the theoretical method for finding probability to determine the probability of : Drawing one…

A:

Q: How many different patchwork quilts, four patches long and three patches wide, can be made from five…

A: Given: Five red and seven blue squares.   To determine: The number of different patchwork quilts…

Q: If six black, five red, four white, and two green disks are to be arranged in a row, what is the…

A: Permutation: the permutation is determining the number of possible arrangements in a set when the…

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

A:

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

A:

Q: A baseball team has 13 possible batters. How many batting orders ofnine players can be made, such…

A: Ans-In this question we are given baseball team has 13 possible batters. and we want to find  how…

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: are there for the names to be listed?

A: Given that

Q: what is the name of each of them?

A: We will compare with general equation to find type ( name ) of surface represented by given equation…

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,…

A:

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