Hockey game

In the hockey game was made six goals. Czech played against Finland. Czechs won 4:2. In what order to fall goals? How many game sequences were possible during the game?

Correct answer:

n =  15

Step-by-step explanation:

$n=C_4(6)=\left({\displaystyle \genfrac{}{}{0px}{}{6}{4}}\right)={\displaystyle \frac{6!}{4!(6-4)!}}={\displaystyle \frac{6\cdot 5}{2\cdot 1}}=15$

Try another example

Related math problems and questions:

• Hockey
  The hockey match ended 8:2. How many different matches could be?
• 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?
• Bridge cards
  How many bridge hands are possible containing 4 spades,6 diamonds, 1 club, and 2 hearts?
• Twelve flowers
  A florist has roses, tulips, daffodils, and carnations to use in flower arrangements. If she were to make an arrangement using 12 flowers, how many different combinations of these 4 types of flowers would be possible?
• Three-digit numbers
  How many three-digit numbers are from the numbers 0 2 4 6 8 (with/without repetition)?
• Hockey match
  The hockey match ended with a result of 3:1. How many different storylines may have the match?
• Research in school
  For particular research in high school, four pupils are to be selected from a class with 30 pupils. Calculate the number of all possible results of the select and further calculate the number of all possible results, if it depends on the order in which th
• Beads
  How many ways can we thread 4 red, 5 blue, and 6 yellow beads onto a thread?
• 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?
• Five-digit numbers
  How many different five-digit numbers can be created from the numbers 2,3,5 if the number 2 appears in the number twice and the number 5 also twice?
• Coffe cups
  We have 4 cups with 4 different patterns. How many possible combinations can we create from 4 cups?
• Two-element combinations
  Write all two-element combinations from elements a, b, c, d.
• Combinations of sweaters
  I have 4 sweaters two are white, 1 red and 1 green. How many ways can this done?
• Three workplaces
  How many ways can we divide nine workers into three workplaces if they need four workers in the first workplace, 3 in the second workplace, and 2 in the third?
• Hockey Championships
  At the 2021 World Hockey Championships, there are eight teams in Group A, each of which plays seven matches. There are 4 points for each team to gain points (3-2-1-0), but it is always paired with the opponent's points ( 0-1-2-3). How many points are ther
• Words
  How many 3 letter "words" are possible using 14 letters of the alphabet? a) n - without repetition b) m - with repetition
• Combinations
  How many different combinations of two-digit number divisible by 4 arises from the digits 3, 5 and 7?