You need to put your reindeer, Rudy, Ezekiel, Gloopin, Bloopin, and Prancer, in a single-file line to pull your sleigh. However, Bloopin and Rudy are fighting, so you have to keep them apart, or they won't fly. How many ways can you arrange your reindeer?
Answers
Out of these, Bloopin and Rudy are together in 4!=24 times. Similarly Rudy and Bloopin will be together 4!=24 times. So the number of ways they are not together is 120-24-24=72 ways.
If Bloopin and Rudy are fighting, the reindeer do not fight, there are 72 ways that you can arrange your reindeer.
What are permutations?
The different arrangements which can be made out of a given number of objects by taking out some or all at a time are called permutations.
If Bloopin and Rudy are fighting, the reindeer do not fight,
then there are 5! = 120 ways
Out of these, Bloopin and Rudy are together in 4! = 24 times.
Similarly, Rudy and Bloopin will be together 4! = 24 times.
So the number of ways they are not together
120-24-24 = 72 ways.
Learn more about permutations;
Related Questions
Is -5 equal to 5? I need help
1. You and a friend both would like a salad and a small drink. Between the two of you you have $8.00. A salad costs $2.49 and a small drink is $0.99. Can either of you have a second salad or a drink? (1 point)yes, one salad yes, one of each yes, one drink no, you cannot
Explain how to compare two lengths that are measured in different sized units
Il perimetro di un pentagono regolare è 18,25cm. quanto misura il lato del pentagono
Answers
Answer:
Step-by-step explanation:
The formula for the volume of a cone is V = (1/3)(area of base)(height). If the radius is always equal to the height of the cone, then V = (1/3)(πh²)(h), where we have eliminated r. Shortened, this comes out to V = (1/3)(π)(h³).
We want to know how fast h is increasing when h = 3 ft.
Taking the derivative dV/dt, we get dV/dt = (1/3)π(3h²)(dh/dt), or, in simpler terms, dV/dt = πh²(dh/dt). Set this derivative = to 27 ft³/min and set h = 3 ft.
Then 27 ft³/min = π(3 ft)²(dh/dt) and solve for dh/dt: (3/π) ft/min = dh/dt when h = 3 ft.
x + 60 inequality-lessthanorequalto 221; at most 161 pounds
x + 161 inequality-lessthanorequalto 221; at most 60 pounds
x + 60 inequality-lessthanorequalto 161; at most 221 pounds
Answers
221 - 60 =161
Answer:
The answer would be 161
Step-by-step explanation:
D
A.
21/35 and 10/35
B.
10/35 and 7/35
C.
7/35 and 5/35
D.
24/35 and 12/35
Answers
3*7=21. 5*7=35.
2*5=10. 7*5=35.
So the answer is A.
:)
Answers
plug in your numbers and divide then you have your answer.
Answers
Answer:
5/18
Step-by-step explanation:
i just took the test on usatestprep
Answer: 5/18 is the correct answer.
Step-by-step explanation: The top number of your fraction is the total amount of green marbles which is 5. The bottom number of your fraction is 18 which is the total of all the marbles added together. 6+4+3+5=18. Since the fraction can not simply, you have your answer of 5/18. The answer was also confirmed on the test I took. I hope this helps you! Thanks!
Answers
Answer:
x³ + 10x² + 1
Step-by-step explanation:
To rewrite the given polynomial in standard form, we need to arrange the terms in descending order of the exponent of the variable. The standard form of a polynomial is the form where the terms are written from highest to lowest degree.
The given polynomial is:
10x² + 1 - x³
To rewrite it in standard form, we first rearrange the terms in descending order of the exponent:
∴ x³ + 10x² + 1
Now the polynomial is in standard form.
Additional Information:
Polynomial: A polynomial is a mathematical expression that consists of variables (like x), coefficients (numbers), and non-negative integer exponents. The standard form of a polynomial is written with the terms in descending order of the exponents.
Degree of a polynomial: The degree of a polynomial is the highest exponent of the variable in that polynomial. In the given polynomial, the term with the highest degree is -x^3, so the degree of the polynomial is 3.
Exponent: The exponent of a term indicates the number of times the variable is multiplied by itself. For example, x^3 means x · x · x.
Coefficient: The coefficient is the number that multiplies the variable in each term. For example, in the term 10x^2, the coefficient is 10.
Descending order: When arranging the terms of a polynomial in descending order, we write the term with the highest degree first, followed by the term with the second-highest degree, and so on, until we reach the constant term (a term without a variable).