How many different ways can you arrange 10 students (4 students with blonde hair, 2 students with black hair, and 4 students with brown hair) for a photograph: With no restrictions?

Q: A math teacher wishes to split a class of thirty students into groups. All groups will work on the…

A: Given data: Total students  = 30 To find: In how many ways can the teacher assign students to the…

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: n a survey of 42 people, 16 liked country music, five people liked country and rap, 17 people liked…

A: Given that there are total 42 people, in which people who liked country music is 16, total number of…

Q: In the local boating pond there are 11 plain wooden boats, each with a different number. The owner…

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Q: The records of 1492 high school students were examined, and the following information was obtained:…

A: The records of 1492 high school graduates were examined, which means that the universal set, Now,…

Q: A child has 20 pieces of Halloween candy. They are as follows: 6 of them are chocolate bars, 9 are…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Selecting…

Q: Your car seats 5 people, including the driver. You have 4 friends who all do not have driver’s…

A: The objective of this question is to find out the number of different ways the 4 friends can arrange…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

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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 class consists of 12 students ​(six boys and six ​girls) and one teacher. In how many ways can the…

A: Here there is a class consists of 12 students where there is 6 boys and 6 girls and 1 teacher We…

Q: You and nine of your classmates are attending an event. How many ways can you be arranged in a…

A: You and nine of your classmates are attending an event.so total number of classmates  =10

Q: An art gallery has 20 pieces. They are categorized as follows: six of them are by Old Masters, nine…

A: It is given that in art gallery there are 20 pieces. Given, Six of them are by Old Masters, nine  by…

Q: . How many ways can you order 2 blue marbles, 4 red marbles and 5 green marbles? Marbles of

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Q: There are 10 people in a meeting. In how many ways can you arrange your participants around a ROUND…

A: Total ways in which 10 people be arranged around a round table so that 4 people sit beside each…

Q: Phyllis teaches marketing at a local college. She wants to select one freshman and one sophomore to…

A: It is given that  Freshman = 10  Sophomores = 15

Q: In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370…

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Q: or this problem, assume that 13 exhibits entered the science fair, and that we want to assign 5…

A: Given Data :  Number of exhibits are 13 in a science fair                        Number of Prizes…

Q: Your class of 15 students has assigned a group project. You must break up into three groups of five…

A: Formula:   If there are n objects. If there are k1 of type 1, k2 of type 2 and so on km of type m…

Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

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

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Q: A sock drawer contains 3 black socks, 4 blue socks, and 7 brown socks. If you pick socks from the…

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

Q: How many choices are there for a person to check out 4 CDs from a library that has 20 CDs of his…

A: Given : n = 20 x = 4

Q: real estate company has 20 houses listed for sale by their clients. In how many ways can 4 of the 20…

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Q: 2. Your friend Carlos brought over 10 videos. Together, you choose 4 of them to watch. How many…

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Q: 2) Abby is adopting kittens from the pet store. If there are 18 kittens, how many ways can she…

A: In this question we have to find in how many Abby choose two kittens if there are two kitten .

Q: From a group of 15 people, how many ways are there to select 5​ people to receive $50​ gift…

A: choose a group of 5 people to receive $50 gift certificate from a total of 15 people. no. of ways to…

Q: how many liked these?

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Q: There are 3 apples, 5 pears and 4 oranges in a basket. If a waiter were to line up these fruits side…

A: There are 3 apples, 5 pears and 4 oranges in a basket. Total fruits = 3+5+4 = 12 n distinct objects…

Q: many different selections of these models and colors are possible?

A: Mrs. Wilson has decided to buy a Chevrolet Caprice or a Buick Roadmaster. She has narrowed down the…

Q: There are 33 guests at your home for a dinner party. In how many ways could the guests arrange…

A: The objective of this question is to find out the number of ways in which 33 guests can arrange…

Q: You are burning a CD for your assignments. You have assignments of 15 different topics. However, you…

A: Note: Hi there! Thank you for posting the question. As there are multiple questions, according to…

Q: Twelve people need to be photographed, but there are only five chairs. (the rest of the people will…

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.