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 factored form of 3x^2 - 12x + 9, using the distributive property?
+
Math question: Find the prime factorization of 84 using factoring formulas.
+
What is the period of the function y = 2sin(3x) - cos(2x) in radians?
+
New questions in Mathematics
Calculate to represent the function whose graph is a line that passes through the points (1,2) and (−3,4). What is your slope?
A normal random variable x has a mean of 50 and a standard deviation of 10. Would it be unusual to see the value x = 0? Explain your answer.
8x²-30x-10x²+70x=-30x+10x²-20x²
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.
5(4x+3)=75
(m²-121)
4X^2 25
Margin of error E=0.30 populations standard deviation =2.5. Population means with 95% confidence. What I the required sample size (round up to the whole number)
The actual length of an object is 1.3 m . If the blueprint uses a scale of 1 : 12 , what is the length of the line on the drawing?
(-5/6)-(-5/4)
Credit title that represents a payment order. This model, which emerged in Brazil, can only be issued in two specific situations: in the purchase and sale of commercial products or in the provision of services. Select the correct alternative: Question 6Answer The. Present value B. Promissory note w. Present value d. Duplicate It is. Bill of exchange
(5y 9)-(y 7)
A mutual fund manager has a $350 million portfolio with a beta of 1.10. The risk-free rate is 3.5%, and the market risk premium is 6.00%. The manager expects to receive an additional $150 million which she plans to invest in several different stocks. After investing the additional funds, she wants to reduce the portfolio’s risk level so that once the additional funds are invested the portfolio’s required return will be 9.20%. What must the average beta of the new stocks added to the portfolio be (not the new portfolio’s beta) to achieve the desired required rate of return?
The simple average of 15 , 30 , 40 , and 45 is
The population of Pittsburgh, Pennsylvania, fell from 520,117 in 1970 to 305,704 in 2010. Write an exponential function P(t) modeling the population t years after 1970. Round the growth factor to the nearest tem thousandth.
A contractor gives a bank note for $10250 at a rate of 1% for one month. How much interest is charged for 4 months?
Calculate NPV, IRR and PAYBACK through a cash flow for a period of five years, with discount rate of: a) 10% b) 12% c) 15% initial annual cost $41,400,000
A 20-year old hopes to retire by age 65. To help with future expenses, they invest $6 500 today at an interest rate of 6.4% compounded annually. At age 65, what is the difference between the exact accumulated value and the approximate accumulated value (using the Rule of 72)?
The length of a rectangle is five more than its width. if the perimeter is 120, find both the length and the width.
97,210 ➗ 82 division