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)
Question: How many pairs of congruent triangles can be formed when two sides and an included angle are given?
+
How many ways can 5 people be chosen for a committee from a group of 10?
+
Question: Find the limit as x approaches 3 of (7x + 5) / (2x^2 - 16)
+
New questions in Mathematics
I want to divide R$ 2200.00 between Antônio, Beto and Cássia, so that Beto receives half from Antônio and Cássia receives a third of Beto. Under these conditions, how much more will Beto receive than Cássia?
Use the digits of 1,9,2,3 to come up with all the numbers 98 and 95
The data set (75, 85, 58, 72, 70, 75) is a random sample from the normal distribution No(µ, σ). Determine a 95% two-sided confidence interval for the mean µ .
Which of the following is the product of multiplying twenty-seven and twenty-five hundredths by nine and twenty-seven hundredths?
1. Suppose we have a good whose quantity supplied changed from 100 to 120 units when the price increased from $10 to $12 per unit. Compute the price elasticity of supply using the midpoint method
Moaz wanted to test whether the level of headache pain (on a scale of 1 – 10) changes after taking Advil. He collected data from 9 participants and calculated the difference in headache pain before and after taking Advil (summarized in the table below). Determine W observed for this test. Difference Scores -2 -4 0 +1 +3 -2 0 -3 -5 Also, What is the degrees of freedom for this test?
An integer is taken at random from the first 40 positive integers. What is the probability that the integer is divisible by 5 or 6?
Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll? Draw the diagram
There were no defectives in a sample of 1 light bulb does this sample provide sufficient evidence that in the warehouse with millions of light bulbs fewer than 10% are defective?
During a fishing trip Alex notices that the height h of the tide (in metres) is given by h=1−(1/2)*cos(πt/6) where t is measued in hours from the start of the trip. (a) Enter the exact value of h at the start of the trip in the box below.
A triangular window has a base of 6 ft. and a height of 7 ft. What is its area?
Use a pattern approach to explain why (-2)(-3)=6
2)A tourist has 15 pairs of pants in his hotel room closet. Suppose 5 are blue and the rest are black. The tourist leaves his room twice a day. He takes a pair of pants and puts them on, the tourist leaves the first pair of pants in the closet again and takes another one and puts them on. What is the probability that the two pants chosen are black?
Quadratic equation 2X = 15/X + 7
Solve equations by equalization method X-8=-2y 2x+y=7
How do you convert a fraction to a decimal
Given a circle 𝑘(𝑆; 𝑟 = 4 𝑐𝑚) and a line |𝐴𝐵| = 2 𝑐𝑚. Determine and construct the set of all centers of circles that touch circle 𝑘 and have radius 𝑟 = |𝐴𝐵|
8. Measurement Jillian measured the distance around a small fish pond to be 27 yards. What would be a good estimate of the distance across the pond: 14 yards, 9 yards, or 7 yards? Explain how you decided.
The length of a rectangle is five more than its width. if the perimeter is 120, find both the length and the width.
Let f(x)=-1/2x+5 evaluate f(-6)