Soccer teams

Have to organize soccer teams. There are 3 age groups. How many different ways can you organize teams of ten for each age group? Is this a permutation or combination?

Correct result:

x =  4060

Solution:

$$\begin{gathered} C_3(30)=\left({\displaystyle \genfrac{}{}{0px}{}{30}{3}}\right)={\displaystyle \frac{30!}{3!(30-3)!}}={\displaystyle \frac{30\cdot 29\cdot 28}{3\cdot 2\cdot 1}}=4060 \\ x=\left(\genfrac{}{}{0px}{}{3\cdot 10}{3}\right)=4060 \end{gathered}$$

Try another example

Showing 0 comments:

Next similar math problems:

• Two groups
  The group of 10 girls should be divided into two groups with at least 4 girls in each group. How many ways can this be done?
• Tournament
  How many matches will be played in a football tournament in which there are two groups of 5 teams if one match is played in groups with each other and the group winners play a match for the overall winner of the tournament?
• Math logic
  There are 20 children in the group, each two children have a different name. Alena and John are among them. How many ways can we choose 8 children to be among the selected A) was John B) was John and Alena C) at least one was Alena, John D) maximum one wa
• Divide
  How many different ways can three people divide 7 pears and 5 apples?
• Flags
  How many different flags can be made from colors red, yellow, blue, green, white so that each flag consisted of three different colors?
• Combinations of sweaters
  I have 4 sweaters two are white, 1 red and 1 green. How many ways can this done?
• A pizza
  A pizza place offers 14 different toppings. How many different three topping pizzas can you order?
• Ice cream
  Annie likes much ice cream. In the shop are six kinds of ice cream. In how many ways she can buy ice cream to three scoop if each have a different flavor mound and the order of scoops doesn't matter?
• Mumbai
  A job placement agency in Mumbai had to send ten students to five companies two to each. Two of the companies are in Mumbai and others are outside. Two of the students prefer to work in Mumbai while three prefer to work outside. In how many ways assignmen
• Teams
  How many ways can divide 16 players into two teams of 8 member?
• Triangles
  Five sticks with a length of 2,3,4,5,6 cm. How many ways can you choose three sticks to form three sides of a triangle?
• Raffle
  There are 200 draws in the raffle, but only 20 of them win. What is the probability of at least 4 winnings for a group of people who have bought 5 tickets together?
• Trinity
  How many different triads can be selected from the group 43 students?
• Cinema
  How many ways can be divided 11 free tickets to the premiere of "Jáchyme throw it in the machine" between 6 pensioners?
• Menu
  On the menu are 12 kinds of meal. How many ways can we choose four different meals into the daily menu?
• Fish tank
  A fish tank at a pet store has 8 zebra fish. In how many different ways can George choose 2 zebra fish to buy?
• School parliament
  There are 18 boys and 14 girls in the class. In how many ways can 3 representatives be elected to the school parliament, if these are to be: a) the boys themselves b) one boy and two girls