An urn contains 5 red balls, 4 green balls, and 1 white ball. Three are drawn simultaneously. Answer the following questions: How many ways can 1 ball of each color be drawn? How many ways can at least 1 green ball be drawn? How many ways can the same color ball be drawn?

Q: During a birthday party, how many ways can five guests, both parents, and the birthday celebrant be…

A: Follow the steps.

Q: A bride is choosing a dress for her bridesmaids. If there are 2 styles, 5 colors, and 3 fabrics, in…

A: Given that  A bride is choosing a dress for her bridesmaids. Number of styles = 2 Number of colors =…

Q: How many different sets of three candies can you select?

A: A candy jar has 10 different candies in it three candies are selected from jar

Q: Four cards are dealt from a standard deck of 52 cards. How many ways can you be dealt two jacks and…

A: A standard deck contains 52 cards. Four cards have to select.

Q: A scholar is choosing six books to take on vacation from a stack of 34. A. How many different…

A: Solution

Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

A:

Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: You are dealt five cards from a standard deck of 52 cards. How many of these hands have at least one…

A:

Q: Find the number of different ways to draw a 5-card hand from a standard deck (four suits with 13…

A: Solution : Find the number of different ways to draw a 5-card hand from a standard deck  of cards to…

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: The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9…

A: Given that Full time faculty member=19 10 female faculty members and 9 male faculty member

Q: A parent brings 4 children to a movie and the family sits in a row of 5 seats. How many ways can…

A: There are total 5 members to sit. 4 of them are children and one parent. The parent sit on one one.…

Q: our cards are dealt from a standard deck of 52 cards. How many ways can you be dealt three aces and…

A: Four cards are dealt from a standard deck of 52 cards. There are 4 cards of aces in the deck. There…

Q: Renae, Nexael, Braden, Lovely, and Vanessa are attending a play and want to sit together in a row.…

A:

Q: A child has fewer than 300 baseball cards. If he puts them in piles of 3​, 4​, 6​, 15​, or 18 he has…

A: Let, the child has x baseball cards.  Then, according to the given problem,        x = 1 (mod 3)…

Q: Lenny has 5 friends in his neighborhood. In how many ways can he choose 3 to help him move…

A: Lennh has friends = 5 Number of friend to be chosen = 3

Q: A clown owns 8 hat(s), 8 horn(s), 5 oufits. How many different outfits can the clown put together if…

A: Given that, A clown owns 8 hats, 8 horns, 5 outfits. We need to find the number of different outfits…

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 baseball team has 13   players. How many 9​-player batting orders are​ possible?

A:

Q: In a​ bag, there are 6 purple and 12 green marbles. If you reach in and randomly choose 5 ​marbles,…

A: Given, there are 6 purple and 12 green marbles in a bag To find the number of ways to choose exactly…

Q: The soccer team has 20 members and will elect P, VP, T and S. In how many ways can this be done?

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.