You have 10 friends: 3 couples and 4 singles. How many ways can you invite 7...

You have 10 friends: 3 couples and 4 singles. How many ways can you invite 7 of them to your house, such that the two people of every couple are either both invited or not?

Expert Solution

Colby Messinger answered 1 year ago

Let's say you have 7 cats and 4 dogs in a house. How many ways could...

Let's say you have 7 cats and 4 dogs in a house. How many ways could I put 4 of them in a room together if I always want 2 dogs and 2 cats? How many ways can I line them up 3 at a time?

1) How many different ways can you arrange the letters in the words a) “friends” b)...

1) How many different ways can you arrange the letters in the words a) “friends” b) “initial” c) “probability” Show your calculations.

In how many ways can you distribute 10 different balls into 4 different boxes, so there's...

In how many ways can you distribute 10 different balls into 4 different boxes, so there's no box with exactly 3 balls? Use inclusion-exclusion

In how many ways can 3 men, 4 women, 5 boys, and 3 girls be selected...

In how many ways can 3 men, 4 women, 5 boys, and 3 girls be selected from 7 men, 9 women, 6 boys and 8 girls if a. no restrictions are imposed, b. a particular man and woman must be selected?

In how many ways can 2 men, 4 women, 3 boys, and 3 girls be selected...

In how many ways can 2 men, 4 women, 3 boys, and 3 girls be selected from 6 men, 8 women, 4 boys and 5 girls if a particular man and woman must be selected?

Your best friends invite you over for pizza and a friendly game of cards. Describe how...

Your best friends invite you over for pizza and a friendly game of cards. Describe how the following parts of the brain are involved during your evening of eating pizza, socializing, and playing cards: Broca’s area, hippocampus, hypothalamus, and occipital lobe.

7. How many different ways can the letters in “COUNT” be arranged? 8. How many different...

7. How many different ways can the letters in “COUNT” be arranged? 8. How many different ways can the letters in “PROBABILITY” be arranged? 9. A pizza restaurant offers 15 different toppings, but only allows customers to select up to four different toppings for each pizza. How many different ways are there for customers to choose up to four toppings for a pizza? 10. A youth soccer team consists of 12 players. When they have games, they play simultaneously on...

How many ways can you create 3 letter permutations from MISSISSIPPI?

You ask 6 of your friends how many dogs they have and how many cats they...

You ask 6 of your friends how many dogs they have and how many cats they have. You record the data as ordered pairs (0,0), (0,1), (1,1), (2,1), (3,3), (5, 4). 1.Create a scatter plot of the data 2.Draw in an estimate of the least squares regression 3.Calculate the least squares regression line. Write the equation of that line.

In how many ways can John and his 11 friends divide themselves into two teams each...

In how many ways can John and his 11 friends divide themselves into two teams each consisting of 4 people, two teams each consisting of 2 people?

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