Calculation of CN

Calculate:

(789786)−(7893)\dbinom{ 789}{ 786 } - \dbinom{ 789}{ 3 }


Result

x =  0

Solution:

(789786)−(7893)=789!786!3!−789!3!786!=0\dbinom{ 789}{ 786 } - \dbinom{ 789}{ 3 } = \dfrac{ 789!}{ 786! 3!} - \dfrac{ 789!}{ 3! 786!} = 0

Try another example


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?

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Fish tank
    zebra_fish A fish tank at a pet store has 8 zebra fish. In how many different ways can George choose 2 zebra fish to buy?
  2. Trinity
    trojka How many different triads can be selected from the group 43 students?
  3. A student
    test_14 A student is to answer 8 out of 10 questions on the exam. a) find the number n of ways the student can choose 8 out of 10 questions b) find n if the student must answer the first three questions c) How many if he must answer at least 4 of the first 5 qu
  4. 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.
  5. Combinations
    math_2 From how many elements we can create 990 combinations 2nd class without repeating?
  6. Chords
    chords How many 4-tones chords (chord = at the same time sounding different tones) is possible to play within 7 tones?
  7. 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?
  8. Menu
    jedalnicek On the menu are 12 kinds of meal. How many ways can we choose four different meals into the daily menu?
  9. Combinations
    trezor_1 How many elements can form six times more combinations fourth class than combination of the second class?
  10. Teams
    football_team How many ways can divide 16 players into two teams of 8 member?
  11. Examination
    examination The class is 21 students. How many ways can choose two to examination?
  12. Cards
    cards_4 The player gets 8 cards of 32. What is the probability that it gets a) all 4 aces b) at least 1 ace
  13. One green
    gulicky In the container are 45 white and 15 balls. We randomly select 5 balls. What is the probability that it will be a maximum one green?
  14. Blocks
    cubes3_1 There are 9 interactive basic building blocks of an organization. How many two-blocks combinations are there?
  15. Disco
    vencek On the disco goes 12 boys and 15 girls. In how many ways can we select four dancing couples?
  16. 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?
  17. Complex number coordinates
    complex_numbers Which coordinates show the location of -2+3i