A bowl containes 8 red balls, and 9 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: Assume that you have a 52-card deck at hand and you are planning to draw 6 cards from the deck. How…

A: We have,Number of cards in deck = 52Number of cards are planning to draw from deck = 6

Q: A bag contains 3 red marbles, three green ones, 1 lavender one, two yellows, and 4 orange marbles.…

A: We have to find number of possible sets of three marbles using given data Formula required:  Number…

Q: A box contains 8 red balls, 8 blue balls, and 6 orange balls. In how many ways can 6 balls be chosen…

A: Given : A box contains 8 red balls, 8 blue balls, and 6 orange balls

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

A:

Q: There are 7 seniors on the high school soccer team. Two of them will be chosen to be co-captains.…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: Baseball teams have an active roster of 25 players, but only 9 players play in the field at once. Of…

A: The given data is as follows:The objective is to compute the number of ways in which one can choose…

Q: In a box there are: 11 red books, 7 white books and 4 blue books. Five books are randomly selected.…

A: From the above data  We are given that  11 red books, 7 white books and 4 blue book

Q: Your bowl contains 5 red balls, and 8 blue balls, and you draw 4 balls. In how many ways can the…

A: Consider the given statements,Determine in how  many ways can the selection be made so that at least…

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

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: From a box containing 8 black, 3 white, and 5 purple marbles, 7 are choser Find the number of the…

A:

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 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: A bride is choosing a dress for her bridesmaids. If there are 3 styles, 5 colors, and 4 fabrics, in…

A: Given: Styles = 3 Colors = 5 Fabrics = 4 The number of ways that she can select the bridesmaids…

Q: You have 7 adult emus and 6 juvenile emus. How many ways are there to choose a group of emus so…

A: no.of adult emus=7no.of juveniles emus=6

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

A:

Q: A team of 6 people is to be chosen from a group of 7 girls and 4 boys. There ae possible teams if…

A: Combination formula :  Number of ways to select  r items from total n items is given by,   Crn =…

Q: Suppose that your friend owns 9 PlayStation games and you would like to borrow 4 of these games. In…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: Suppose there are 20 students in our class and we want to choose 3 to sit in the front row. How many…

A: Given information There are 20 students We want to choose 3 to sit in the front row Total number of…

Q: There are 20 members of a club.  The club is going to select a president, vice president, and…

A: Given: 20 members in a club.

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: You have 5 adult emus and 6 juvenile emus. How many ways are there to choose a group of emus so…

A:

Q: Assume that you have a 52-card deck at hand and you are planning to draw 5 cards from the deck. How…

A: The number of cards in the deck is 52.The number of cards to be drawn is 5.In order to obtain a…

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.