How many 13-card hands having exactly 11 cards from any suit can be dealt? Please write out each step of your answer and explain what you are doing.

Q: If there are 57 cards in a deck and 12 are dealt to each student, how many 12 card possibilities are…

A: Combination Rule:The arrangement of r objects from n different objects is given by:

Q: Find the number of different ways that an instructor can choose 7 students from a class of 16…

A: No. of students in a class for field trip(n)=16No. of students that an instructor can choose(r)=7

Q: Suppose Ed is going to build a playlist that contains 11 songs. In how many ways can Ed arrange the…

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Q: In some card games, it is possible to have a negative score.Lavonne Schultz currently has a score of…

A: We have been given that Lavonne Schultz currently has a score of 15 points. She then loses 24…

Q: How many different 4 card hands can be dealt from a deck of 52 cards? The order of the cards does…

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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: There are 11 teams in a league. How many games are played if every team plays each other twice?

A: Suppose there are n teams. Also suppose that all the teams play every other team twice. Then the…

Q: There are 4 jobs you can choose in a volunteer site. How many different ways are there to choose 1…

A: The objective of the question is to find out the number of ways to choose 1 job out of 4 available…

Q: A group of 12 people are going to run a race. The top 6 finishers are going to advance to the next…

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Q: There are 4 jobs you can choose in a volunteer site. How many different ways are there to choose 2…

A: The objective of this question is to find out the number of ways to choose 2 jobs out of 4. This is…

Q: From a standard​ 52-card deck, how many 7​-card hands consist of 5 clubs and 2 diamonds​?

A: There are total 13 clubs and 13 diamonds.  We can pick 5 clubs from 13 clubs in 13C5 ways. We can…

Q: You are dealt 5 cards from a deck of 52. Let X represent the number of hearts that you are dealt.…

A: We have to find given probability.

Q: Find the number of different ways in which 3 flags can be displayed on a flagpole, one above the…

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Q: How many different 4 card hands can be dealt from a deck of 52 cards?

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Q: A group of friends have met at the park to socialize and play a game. Juan and Mary have been chosen…

A: There is group of 21 friends. Out of which Juan and Mary have been chosen as team captains.  Hence,…

Q: How many different 2 card hands can be dealt from a deck of 52 cards?

A: Here, 2 card hands can be dealt from a deck of 52 cards. That is, n=52 and r=2

Q: You are dealt one card from a 52-card deck. Find the probably that you are not dealt a four.

A: The probability of an event is given by the number of favorable cases divided by the total number of…

Q: Suppose Allan is going to build a playlist that contains 12 songs. In how many ways can Allan…

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Q: Find the number of 8 card hands that have 2 red cards and 6 black cards. (Two of the suits are red…

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Q: A doctor visits her patients during morning rounds. In how many ways can the doctor visit 7 patients…

A: Given Number of patients=7

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: You need to rank 2 types of coffee. How many ways are there to rank them?

A: The objective of this question is to find out the number of ways to rank two types of coffee.