Graduation party

There are 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected.

Result

n =  16216200

Solution:

n=15 14 13 12 (12 11 10 9)/4!=16216200=1.621620107n=15 \cdot \ 14 \cdot \ 13 \cdot \ 12 \cdot \ (12 \cdot \ 11 \cdot \ 10 \cdot \ 9)/4!=16216200=1.621620\cdot 10^{ 7 }



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





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

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




Tips to related online calculators
Would you like to compute count of combinations?
See also our permutations calculator.
See also our variations calculator.

Next similar math problems:

  1. Combinatorics
    fontains The city has 7 fountains. Works only 6. How many options are there that can squirt ?
  2. Blocks
    cubes3_1 There are 9 interactive basic building blocks of an organization. How many two-blocks combinations are there?
  3. Disco
    vencek On the disco goes 12 boys and 15 girls. In how many ways can we select four dancing couples?
  4. Competition
    sutaz 15 boys and 10 girls are in the class. On school competition of them is selected 6-member team composed of 4 boys and 2 girls. How many ways can we select students?
  5. Division
    skauti_3 Division has 18 members: 10 girls and 6 boys, 2 leaders. How many different patrols can be created, if one patrol is 2 boys, 3 girls and 1 leader?
  6. Variations
    pantagram 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.
  7. Menu
    jedalnicek On the menu are 12 kinds of meal. How many ways can we choose four different meals into the daily menu?
  8. 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?
  9. Toys
    toys 3 children pulled 12 different toys from a box. Many ways can be divided toys so that each children had at least one toy?
  10. The confectionery
    ice_cream The confectionery sold 5 kinds of ice cream. In how many ways can I buy 3 kinds if order of ice creams does not matter?
  11. Olympics metals
    olympics In how many ways can be win six athletes medal positions in the Olympics? Metal color matters.
  12. Teams
    football_team How many ways can divide 16 players into two teams of 8 member?
  13. Trinity
    trojka How many different triads can be selected from the group 43 students?
  14. 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
  15. Confectionery
    cukrovinky The village markets have 5 kinds of sweets, one weighs 31 grams. How many different ways a customer can buy 1.519 kg sweets.
  16. First class
    prvni_jakost The shipment contains 40 items. 36 are first grade, 4 are defective. How many ways can select 5 items, so that it is no more than one defective?
  17. Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?