A card deck consists of 9 fire Pokemons and 11 ice Pokemons. How many ways can 7 cards be chosen from this deck? How many ways to choose 7 cards if 3 must be fire Pokemons and 4 must be ice Pokemons? How many ways can 7 cards be chosen from this deck, if at least one card must be a fire Pokemon?

Q: This year, there are ten freshmen, eight sophomores, nine juniors, and nine seniors are eligible to…

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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: This year, there are eight freshmen, nine sophomores, seven juniors, and seven seniors are eligible…

A: There are 8 freshmen, 9 sophomores, 7 juniors and 7 seniors are eligible to be on a committee. Thus,…

Q: There are 52 cards in a standard deck. Thirteen of those cards are spades. The deck is shuffled and…

A: Given that there are 13 spades.  We have to select 3 spades from the 13 spades.    Since the order…

Q: A class of 50 students consists of twenty four boys and 26.how many different ways can 5 students be…

A: Given: A class of 50 students with 24 boys and 26 girls are there. Now ,total of 5 students are…

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: There are 16 seniors and 20 juniors in a particular social organization. In how many ways can 2…

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Q: There are 5 grade 12s, 4 grade 11s, 3 grade 10s, 2 grade 9s. How many ways can a president, vice…

A: Solution

Q: This year, there are ten freshmen, seven sophomores, eight juniors, and eight seniors are eligible…

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: How many different five-card hands can be formed with the 52 poker cards if we want 3 diamond cards…

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Q: Five friends have tickets next to each other in one row. If two of the friends must sit next to each…

A: Five friends have tickets next to each other in one row. Two of the friends must sit next to each…

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: 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: A student has 7 books on his deck. In how many different ways can he select a set of 3?

A: student has 7 books on his deck. No. of different ways to select set of 3 = ?

Q: you had a box of five different kinds of fruit and you could choose 2, you might get an apple and an…

A: Given that  Number of types of fruits (n) = 5 Number of fruits we could choose = 2   We know that…

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

A: Given that, Number of styles = 3 Number of colors = 4 Number of fabrics = 5

Q: A pizzeria has 14 types of pizza. How many different ways are there to choose 18 pizzas with at…

A: The probability is nothing but the likelihood of the occurrence of the event. The probability of an…

Q: A restaurant offers ba dinner special that lets you choose from 10 entrees, 8 side dishes, and 13…

A: From the given information,Total number of dinner entrees = 10Total number of side dishes = 8Total…

Q: A box contains 5 green, 7 yellow, and 10 orange ping pong balls. How many ways can 5 balls be…

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

Q: A test consists of 12 questions that are divided into three questions. There are 5 questions in the…

A: Given: Questions in first section =3 Questions in second section =2 Question in third section =1

Q: This year, there are ten freshmen, seven sophomores, ten juniors, and eight seniors are eligible to…

A: Followings are the Explanation of the question  Number of ways to select k items from n, nCk= n!/(k!…

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: A person has 3 dress​ shirts, 3 ​ties, and 4 jackets. In how many ways can that person select a…

A: The objective of this question is to find out the total number of ways a person can select a dress…

Q: Kim, Dan, and Pat are finalists in a talent contest. How many different ways can Kim, Dan, and Pat…

A: Given data, Only one position for First place and only one position for Second place in a contest.…

Q: How many different 4-card hands can be dealt from a deck that has 16 different cards?

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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: 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 we went to choose 2 colors, without replacement, from the 4 colors red, blue, green, and…

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Q: An appliance store carries 9 types of washing machines and 5 types of dryers. A shopper comes in and…

A: Total number of washing machines = 9 Total number of dryers = 5

Q: How many ways can a delegation of 2 Republicans, 2 Democrats, and 2 Independents be selected from a…

A: Given dataRepublicans = 4Democrats = 4Independent = 3