Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40 orange, 70 lemon, 30 watermelon, 20 vanilla, 10 peppermint and 40 pineapple. Assuming that the pieces of each flavor are identical. How many different ways can seven candies be chosen?

Q: 4. Suppose Pat has eight shirts and four pairs of pants. How many different outfits can Pat make by…

A: Every shirt combines with every pair of pants to make an outfit.  Shirt 1 creates an unique outfit…

Q: Consider the five letters a,b,c,d,e. In how many distinct ways can three letters be selected and…

A: Permutation:         The act of arranging the members of a set into an order or sequence, if it is…

Q: In how many ways can 3 Americans, 4 Frenchmen, 4 Danes and 2 Italians be seated in a row so that…

A: Choose the order of the 4 nationalities in 4! ways. Choose the order of the 3 Americans in 3! ways.…

Q: In how many different ways can 5 bicycles be parked if there are 7 available parking spaces?

A: There are 7 available parking spaces and 5 bicycles.

Q: In how many different ways can the director of a research laboratory choose two chemical engineers…

A:

Q: Suppose there is a club of 15 people. In how many ways can a committee of 3 people be selected?

A: Our objective is to find the number of way

Q: In how many ways can 3 Americans, 4 Frenchman, 4 Danes and 2 Italians be seated in a row of 13 seats…

A:

Q: In how many ways can 9 individuals be seated in a row of 9 chairs if two individuals wanted to be…

A: Permutation is the method that used to measure the number of arrangement in the data set. In this…

Q: (a) How many ways are there to place 10 paintings into 8 boxes, given there should be at least one…

A: a. The total number of ways of dividing 10 paintings into 8 boxes so at least one painting in each…

Q: In how many ways can 8 students be seated in a row if three particular students must always be…

A: Given information :- In how many ways can 8 students be seated in a row if three particular students…

Q: A jar contains four white balls, eight black balls, and six red balls. In how many ways can two…

A: Given :Total number of balls in a Total number of white balls = 4 Total number of black balls = 8…

Q: In how many ways can 9 books be arranged on a shelf if 5 particular books must always stand…

A:

Q: Assuming that no one can hold more than one office, how many selections are possible?

A: select a president, vice-president, secretary, and treasurer out of a club with 15 members.  Here…

Q: In how many ways a team of 4 representatives can be chosen in a class of 12 students consisting of 5…

A:

Q: How many different ways can 5 out of 8 different shirts, 4 out of 10 different pieces of slacks, and…

A: Different ways can  5 out of 8 different shirts, 4 out of 10 different pieces of slacks, and 3 out…

Q: In how many ways can a president, secretary and treasurer be selected from a group of 15 people?

A: we know that one person cannot hold more than one post (president, secretary and treasurer) then we…

Q: In how many ways can a group of 6 students be selected from 7 students?

A:

Q: Suppose 12% of students chose to study French their freshman year, and that meant there were 21 such…

A: Given: Suppose 12% of students chose to study French their freshman year and  that meant there were…

Q: In how many different ways can the director of a research laboratory choose two chemists from among…

A: Solution: Given information: Chemists applicants = 11  Physicists applicants = 7   To choose 2…

Q: How many different sets of 6 cards each can be formed from a standard deck of 52 cards?

A: Please find attachment for the details solution

Q: A boyscout troop has 10 members. a. How many ways can the Troup Leader select 3 members to lead a…

A: Given A boy scout troop has 10 members. To find a. How many ways can the Troup Leader select 3…

Q: How many ways are there to select a first-prize winner, a second-prize winner, and a third-prize…

A: We have to select a first-prize winner, a second -prize winner and a third-prize winner form 50…

Q: in how many ways can a hand of 5 cards be dealt such that 2 are black and 3 red cards?

A: Given:  There are 52 cards on the deck. There are 26 red and 26 black cards on the deck. Formula…

Q: In a class of 18 girls and 15 boys, in how many ways can a girl get the highest grade, a boy second,…

A: Consider the given information.The number of the boys is 15 and the number of the girls is 18 girls.

Q: In how many ways can a group of 5 girls be selected from 8 if the eldest girl is included in each…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: (a) If a student must answer 8 of 12 questions on an examination, how many different selections of…

A: Given:  A student must answer 8 of 12 questions on an examination  To find:a) The different…

Q: Suppose the group of twelve consists of five men and seven women. a) How many five-person teams can…

A: A group consist of fire men and sexes women. We have to make a fire person team with 3men and 2…

Q: In how many ways can 8 students be seated in a row if two particular students must never be seated…

A: In the given problem we have to  find in how many ways can 8 students be seated in a row if two…

Q: There are five people at a volleyball tournament. In how many ways can a team of three be chosen?

A: The number of ways r items can be chosen out of n items is equal to C(n,r) . The formula for C(n,r)…

Q: In how many ways can three committees of 8 persons be formed from 44 persons if the chosen persons…

A: The number of ways to select  r different objects from n different objects, can be given as, Crn…

Q: The number of ways of choosing ten students from a class of twenty-five is the same as the number of…

A: So in this we have to find the both then evaluate to see both are same so for this I'm providing…

Q: How many different sets of 5 cards can be formed from a standard deck of 52 cards?

A: We need to find the number of different 5 card sets that can be formed from a deck of 52 cards. Now,…

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given,no.of dogs=3no.of cats=4no.of rabbits=4no.of pigs=2

Q: How many different selections of three books can be made from a set of fifteen books?

A: Introduction:According to the permutation rule, if r distinct items are to be chosen from n items…

Q: In how many ways can nine students be partitioned into three teams containing four, three, and two…

A:

Q: In how many ways can six pictures be selected from a group of ten different pictures?

A: It is given that 6 different pictures are to be selected from a group of 10 pictures, therefore,

Q: In a group of 6 boys and 4 girls, 4 children are to be selected. In how many ways can they be…

A: The number of ways in which r different items can be selected from n different items, can be given…

Q: A photographer is asked to submit seven photographs from a collection of 14 for an exhibit. In how…

A:

Q: How many ways can a​ president, ​vice-​president, and secretary be chosen from a club with 11…

A:

Q: A class of 40 students is to choose a set of classroom officers composed of the President,…

A: Permutation formula : nPr = n! /(n-r)!

Q: law enforcement officers if each committee consists of 6 law enforcement o

A: Given: n = 9 r= 6

Q: Suppose 34% of students chose to study German their junior year, and that meant that there were 272…

A:

Q: In how many different ways can 4 passengers be seated in an airplane if each passenger can select…

A:

Q: In how many ways can five pictures be selected from a group of nine different pictures?

A:

Q: Suppose you are asked to choose three movies. If there are 20 different movies, in how many ways can…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: In how many ways can six medical technology students be seated in a round table if two of the six…

A: The number of ways n people can arrange in a seating order is (n!).

Q: In how many ways can a large retail store select 3 sites on which to build a new store if it has 12…

A: We have to find given combination possible.

Q: In how many ways can a chairperson and a vice chairperson be selected from a committee of 15 people?

A: For the following question

Q: In how many ways can a teacher arrange 6 students in the front row of a classroom with a total of 20…

A:

Q: In how many ways can 5 starting positions on a basketball team be filled with 8 men who can play any…

A: GivenNo.of Men(n)=8No.of positions(r)=5

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.