Blocks

There are 9 interactive basic building blocks of an organization. How many two-blocks combinations are there?

Correct result:

n =  36

Solution:

C2(9)=(92)=9!2!(92)!=9821=36  n=(92)=36C_{{ 2}}(9)=\dbinom{ 9}{ 2}=\dfrac{ 9! }{ 2!(9-2)!}=\dfrac{ 9 \cdot 8 } { 2 \cdot 1 }=36 \ \\ \ \\ n={ { 9 } \choose 2 }=36



We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!






Showing 0 comments:
avatar




Tips to related online calculators
Would you like to compute count of combinations?

You need to know the following knowledge to solve this word math problem:

Next similar math problems:

  • Combinations
    kvadrat_3 If the number of elements increase by 3, it increases the number of combinations of the second class of these elements 5 times. How many are the elements?
  • Two-element combinations
    combinatorics Write all two-element combinations from elements a, b, c, d.
  • Combinations 6
    dices2_3 6 purses 9 flaps 12 straps Every combination must include 1 purse, 1 flap, and 1 strap. How many are possible combinations?
  • Combinations
    math_2 From how many elements we can create 990 combinations 2nd class without repeating?
  • Combinations of sweaters
    sveter I have 4 sweaters two are white, 1 red and 1 green. How many ways can this done?
  • 2nd class combinations
    color_circle From how many elements you can create 4560 combinations of the second class?
  • Combinations
    trezor_1 How many elements can form six times more combinations fourth class than combination of the second class?
  • MATES
    sazka In MATES (Small Television tipping) from 35 randomly numbers drawn 5 winning numbers. How many possible combinations there is?
  • Eight blocks
    cuboids Dana had the task to save the eight blocks of these rules: 1. Between two red cubes must be a different color. 2. Between two blue must be two different colors. 3. Between two green must be three different colors. 4. Between two yellow blocks must be four
  • Combinations
    circles How many different combinations of two-digit number divisible by 4 arises from the digits 3, 5 and 7?
  • Divide
    hrusky How many different ways can three people divide 7 pears and 5 apples?
  • Twelve flowers
    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?
  • Chocolates
    Chocolate In the market we have 3 kinds of chocolates. How many ways can we buy 14 chocolates?
  • Hockey game
    Hockey 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?
  • Beads
    koralky2 How many ways can we thread 4 red, 5 blue, and 6 yellow beads onto a thread?
  • Combinatorics
    fontains The city has 7 fountains. Works only 6. How many options are there that can squirt ?
  • Fruits
    banan_1 In the shop sell 4 kinds of fruits. How many ways can we buy three pieces of fruit?