Your bowl contains 5 red balls, and 8 blue balls, and you draw 4 balls. In how many ways can the selection be made so that at least one of each color is drawn?

Q: How many different committees are possible that consist of 5 women and 3 men selected from a group…

A: For a committee, arrangement does not matter so use the combination method.  We can select 5 women…

Q: In how many ways can a party of 5 persons arrange themselves in a row of 5 chairs?

A:

Q: How many unordered selections of three elements can be made from the set {a, b, c, d, e, f}?

A:

Q: How many combinations can the seven colors of the rainbow be arranged into groups of three colors…

A:

Q: An urn contains seven ​red, five ​white, and six blue marbles. How many ways can three marbles be…

A: Given that the urn contains seven red, five white, and six blue marbles.

Q: A book club offers a choice of 5 novels from a list of 10. How many 5-novel selections can be made…

A: From the provided information, A book club offers a choice of 5 novels from a list of 10.

Q: Your bowl contains 7 red balls, and 5 blue balls, and you draw 4 balls. In how many ways can the…

A:

Q: Please answer 20A and 20B

A: 20. Consider the provided question, Given there are two 100 fish tanks. Total number of fish = 200…

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

A:

Q: 4. From 4 red, 5 green and 6 yellow apples, how many selections of 9 apples are possible if 3 of…

A: Given Information: There are 4 Red, 5 Green and 6 Yellow apples. Required: How many selections of 9…

Q: Assume that you have 7 dimes and 5 quarters (all distinct), and you select 4 coins. In how many ways…

A: To count the number of selections  under given conditions

Q: In how many ways can a party of 7 persons arrange themselves in a row of 7 chairs?

A:

Q: A box contains two black balls, labeled 1 and 2, and five white balls, labeled 3, 4, 5, 6, and 7.…

A: One person to get the both balls by 2 different ways

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: Suppose a class has 18 women and 12 men.We wish to form a committee of 5 people.If the committee is…

A:

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

A: The 4 colors are red, blue, green and purple and the number of colors chosen 3.

Q: 4) From 4 red, 5 green, and 6 yellow apples, how many selections of 9 apples are possible if 3 of…

A: As per bartleby guideline expert have to answer first question only..

Q: An engineer is putting together a train with 5 box cars, 3 tank cars, and 4 flat cars. For the box…

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

Q: Suppose we want to choose 6 colors, without replacement, from 13 distinct colors. (a) If the order…

A:

Q: An urn contains 4 marbles with the following colors: Red, White, Blue, and Green. You cannot see…

A: Formula: Permutation: Prn =n!(n-r)! ________________________________ Combination: Crn =n!r!(n-r)!

Q: In a shipment of  59 vials, only 14 do not have hairline cracks. If you randomly select 2 vials from…

A: Given that  Number of vials (n) = 59 Vials do not have hairline cracks = 14 Vials having hairline…

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

A: Suppose we want to choose 5 colors without replacement from 14 distinct colors

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

A:

Q: In how many ways you can choose 8 of 32 playing cards not considering their order?

A: The combination of a number of objects is their arrangement without considering the order in which…

Q: Assume that you have 8 dimes and 4 quarters (all distinct), and you select 3 coins. In how many…

A: The number of dimes is 8 and the quarters is 4.

Q: A student wants to buy 3 CDs. Assume that they are interested in 6 CDs featuring the piano, 4 CDs…

A:

Q: Assume that you have 7 dimes and 5 quarters (all distinct), and you select 3 coins. (1) In how many…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: Ex: Problem: Among a set of 5 black balls and 3 red balls, how many selections of 5 balls can be…

A:

Q: In a shipment of  62 vials, only 14 do not have hairline cracks. If you randomly select 3 vials from…

A: The number of vials is 62. The number of vials selected randomly is 3.

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

A:

Q: We have m apples, n oranges and p bananas. In how many ways can we make a non-zero selection of

A: Solution is below

Q: Five cards are selected out of 52. In how many different ways can this be done if: they contain the…

A: total cards are 52 cards.  they are 13 clubs , 13 spades , 13 hearts ,13 diamonds clubs and spades…

Q: Assume that you have 4 dimes and 5 quarters (all distinct), and you select 3 coins. (3) In how many…

A: Given: Dimes = 4 Quarters = 5 3 coins are selected. The number of ways in which selection can be…

Q: Your bowl contains 6 red balls, and 7 blue balls, and you draw 4 balls. In how many ways can the…

A: Given: Bowl contains 6 red balls, and 7 blue balls. We have to draw 4 balls. The number of ways in…

Q: four cards labeled a,b,c and d are randomly placed in four boxes labeled a,b,c, and d. each box…

A: For first card there are 4 choices for next one there will be 3 choices and so on,...

Q: A bowl containes 8 red balls, and 9 blue balls, and you draw 4 balls. In how many ways can the…

A: A bowl contains 8 red balls, and 9 blue balls, and I have to draw four ball in such a way that…

Q: Find the number of ways of selecting exactly one of the two best applicants in a selection of two…

A: Given problem Given that

Q: There are 10 defective light bulbs in a bin containing 25 light bulbs. In how many ways can you…

A:

Q: Suppose we want to choose 6 colors, without replacement, from 11 distinct colors.

A: Given that 6 colors are selected from 11 colors distinctly. a) If order of the selection is not…

Q: Your club would like to form a committee that has 2 sophomores, 3 juniors, and 4 seniors. If there…

A: In this question out of 7 sophomores we have to choose 2, Out of 8 juniors, we have to choose 3 and…

Q: 2. How many ways can 3 cards be selected from a standard deck of 52 cards, disregarding the order of…

A: To find the ways in which the 3 cards can be drawn from the deck of 52 cards if the order does not…

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 25.…

A: 1 to 25 there are 25 numbers. The numbers may repeat in the combination. For the first number, there…

Q: there are 15 horses in a race, how many possibilities are there for the win, place, and show (first,…

A:

Q: In a race and which six automobiles are entered and there are no ties, and how many ways can the…

A: Solution: From the given information, there are six automobiles.

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: Suppose we want to choose 6 colors, without replacement, from 9 distinct colors. (a) If the order of…

A:

Q: In how many ways can a selection of 3 men and 2 women can be made from a group of 5 men and 5 women…

A: First find in how many ways can women and men be chosen.

Q: A bag contains pieces of 6 different types of candy. If the bag has 85 pieces in total, how many…

A: Explanation:Here givens the 85 prices 6 types of different candys and finally how much randomly…

Q: in how many ways can 2 men, 4 women, 3 boys, and 3 girls be selected from 6 men, 8 women, 4 boys,…

A: Ans# Given 6 man, 8 women, 4 boys and 5 girls.          How many ways can 2 men, 4 women, 3 boys and…

Q: A four-of-a-kind hand is a selection of five cards from a standard 52 card deck consisting of four…

A: A four of a kind hand is a selection of five card from a standard 52 card deck consisting of four…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.