Variations

Determine the number of items when the count of variations of fourth class without repeating is 42 times larger than the count of variations of third class without repetition.

Result

n =  45

Solution:

Solution in text n =







Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




To solve this example are needed these knowledge from mathematics:

Would you like to compute count of combinations? See also our variations calculator.

Next similar examples:

  1. Task of the year
    years Determine the number of integers from 1 to 106 with ending four digits 2006.
  2. Metals
    metals_2 In the Hockey World Cup play eight teams, determine how many ways can they win gold, silver and bronze medals.
  3. Combinatorics
    fontains The city has 7 fountains. Works only 6. How many options are there that can squirt ?
  4. Disco
    vencek On the disco goes 12 boys and 15 girls. In how many ways can we select four dancing couples?
  5. Mumbai
    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 assignment
  6. Elections
    gaspar_billboard In elections candidate 10 political parties. Calculate how many possible ways can the elections finish, if any two parties will not get the same number of votes.
  7. Medals
    medails In how many ways can be divided gold, silver and bronze medal among 21 contestant?
  8. Olympics metals
    olympics In how many ways can be win six athletes medal positions in the Olympics? Metal color matters.
  9. Neighborhood
    glasses_1 I have 7 cups: 1 2 3 4 5 6 7. How many opportunities of standings cups are there if 1 and 2 are always neighborhood?
  10. Football league
    football In the 5th football league is 10 teams. How many ways can be filled first, second and third place?
  11. Tokens
    kamene In the non-transparent bags are red, white, yellow, blue tokens. We 3times pull one tokens and again returned it, write down all possibilities.
  12. Trainings
    tenis The table contains tennis training schedule for Saturday's younger students during the winter indoor season. Before the start of the summer season is preparing a new training schedule. Tomas Kucera will be able to practice only in the morning, sisters Kova
  13. Count of triangles
    SquareTriangle Given a square ABCD and on each side 8 internal points. Determine the number of triangles with vertices at these points.
  14. Weekly service
    school_table.JPG In the class are 20 pupils. How many opportunities have the teacher if he wants choose two pupils randomly who will weeklies?
  15. Theorem prove
    thales_1 We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  16. PIN - codes
    pin How many five-digit PIN - code can we create using the even numbers?
  17. Probability
    loto What are the chances that the lottery, in which the numbers are drawn 5 of 50 you win the first prize?