Question

Consider the following question conditions. There are two ice skaters -Pam and Jakob. In order for them to skate either one of them has to skate in front of the second one. They skate 8 rounds which is equal to the amount of times they have to skate in front of each other. The question: suppose Pam skate s in front of Jacob in the first round, how many ways they can do their normal training?

237

likes
1183 views

Answer to a math question Consider the following question conditions. There are two ice skaters -Pam and Jakob. In order for them to skate either one of them has to skate in front of the second one. They skate 8 rounds which is equal to the amount of times they have to skate in front of each other. The question: suppose Pam skate s in front of Jacob in the first round, how many ways they can do their normal training?

Expert avatar
Seamus
4.9
98 Answers
Let's break down the problem:

- Pam skates in front of Jakob in the first round.
- After that, for the next 7 rounds, they can switch positions in front of each other.

Let's denote P as Pam and J as Jakob. Since Pam skates in front of Jakob in the first round, the possible arrangement for the first round is P-J.

For the next 7 rounds, they can either have Pam in front of Jakob (P-J) or Jakob in front of Pam (J-P). Since they can switch positions freely, there are 2 options for each round.

So, the total number of ways they can do their normal training is 2^7 = 128 ways.

\textbf{Answer: 128 ways}

Frequently asked questions (FAQs)
What is the solution to the inequality 3x + 5 < 25?
+
Question: What is 3/4
+
What are the characteristics of an ellipse with the equation x^2/a^2 + y^2/b^2 = 1?
+
New questions in Mathematics
A=m/2-t isolate t
Solution to the equation y&#39;&#39; - y&#39; - 6y = 0
a ferry travels 1/6 of the distance between two ports in 3/7 hour. The ferry travels at a constant rate. At this rate, what fraction of the distance between the two ports can the ferry travel in one hour.
For a temperature range between -3 degrees Celsius to 5 degrees Celsius, what is the temperature range in degrees Farenheight
58+861-87
The ratio of tomatoes to red apples is 2:5. If there are 20 tomaoes in the garden, how many red apples are there?
Desarrolla (2x)(3y + 2x)5
If f(x,y)=6xy^2+3y^3 find (∫3,-2) f(x,y)dx.
find x in the equation 2x-4=6
Solve : 15/16 divide 12/8 =x/y
What’s the slope of a tangent line at x=1 for f(x)=x2. We can find the slopes of a sequence of secant lines that get closer and closer to the tangent line. What we are working towards is the process of finding a “limit” which is a foundational topic of calculus.
The price per night of a suite at the Baglioni Hotel in Venice is 1896 euros, VAT included. The VAT in Italy is 25%. The hotel gets a return of 10% out of the price VAT included. a) What is the amount of VAT paid by the hotel for one
Estimate the quotient for 3.24 ÷ 82
I. Order to add 40.25+1.31+.45 what is the first action to do ?
Sections of steel tube having an inside diameter of 9 inches, are filled with concrete to support the main floor girder in a building. If these posts are 12 feet long and there are 18 of them, how many cubic yards of concrete are required for the job?
Let x be an integer. Prove that x^2 is even if and only if is divisible by 4.
94 divided by 8.75
Convert (324)𝑓𝑖𝑣𝑒 into base-ten
the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length
x(squared) -8x=0