Neighborhood

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?

Result

n =  1440

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. See also our permutations calculator.

Next similar examples:

  1. Coin and die
    die Flip a coin and then roll a six-sided die. How many possible combinations are there?
  2. Guests
    hostia How many ways can 8 guests sit down on 10 seats standing in a row?
  3. 7 heroes
    7statocnych 5 heroes galloping on 5 horses behind. How many ways can sort them behind?
  4. Flags
    vlajka_cz How many different flags can be made from colors red, blue, green, white, yellow so that each flag consisted of three different colors?
  5. Vans
    shuttlevan In how many ways can 5 shuttle vans line up at the airport?
  6. Pairs
    pair At the table sit 8 people, 4 on one side and 4 on the other side. Among them are 3 pairs. Every pair wants to sit opposite each other. How many ways can they sit?
  7. Lock
    combination-lock Combination lock will open when the right choice of 3 numbers (from 1 to 25 inclusive) is selected. A. How many different lock combinations are possible? B. Is he combination lock named appropriately?
  8. Subsets
    1venna_sets How many are all subsets of set ??
  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. No. of divisors
    triangle_div How many different divisors has number ??
  11. Seating
    kupe_1 How many ways can 7 people sit on 2 numbered chairs (eg seat reservation on the train)?
  12. 2nd class variations
    cards From how many elements you can create 6972 variations of the second class?
  13. Football league
    football In the 5th football league is 10 teams. How many ways can be filled first, second and third place?
  14. Morse alphabet
    morse_code Calculate how many words of Morse code to create compiling commas and dots in the words of one to four characters.
  15. Bits, bytes
    bits Calculate how many different numbers can be encoded in 16-bit binary word?
  16. Area codes
    us_codes How many 6 digit area codes are possible if the first number can't be zero?
  17. Hockey players
    players After we cycle five hockey players sit down. What is the probability that the two best scorers of this crew will sit next to each other?