Ice cream

Annie likes much ice cream. In the shop are six kinds of ice cream. In how many ways she can buy ice cream to three scoop if each have a different flavor mound and the order of scoops doesn't matter?

Correct result:

n =  20

Solution:

$$\begin{gathered} C_3(6)=\left({\displaystyle \genfrac{}{}{0px}{}{6}{3}}\right)={\displaystyle \frac{6!}{3!(6-3)!}}={\displaystyle \frac{6\cdot 5\cdot 4}{3\cdot 2\cdot 1}}=20 \\ n=\left(\genfrac{}{}{0px}{}{6}{3}\right)=20 \end{gathered}$$

Try another example

Showing 0 comments:

Next similar math problems:

• The confectionery
  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?
• Glass with icecream
  We have 6 kinds of ice cream and 5 kinds of fruit. We put 3 cups of ice cream and 2 fruits into each glass. How many can unique decorated glasses be?
• Menu
  On the menu are 12 kinds of meal. How many ways can we choose four different meals into the daily menu?
• Kids
  How many different ways can sit 8 boys and 3 girls in line if girls want to sit on the edge?
• Sweater
  Dana confuses sweater and wool has a choice of seven colors. In how many ways she can choose from three colors to the sleeves?
• Confectionery
  The village markets have 5 kinds of sweets, one weighs 31 grams. How many different ways a customer can buy 1.519 kg sweets.
• Chocolates
  In the market we have 3 kinds of chocolates. How many ways can we buy 14 chocolates?
• Combinations of sweaters
  I have 4 sweaters two are white, 1 red and 1 green. How many ways can this done?
• School parliament
  There are 18 boys and 14 girls in the class. In how many ways can 3 representatives be elected to the school parliament, if these are to be: a) the boys themselves b) one boy and two girls
• Friends in cinema
  5 friends went to the cinema. How many possible ways can sit in a row, if one of them wants to sit in the middle and the remaining's place does not matter?
• Math logic
  There are 20 children in the group, each two children have a different name. Alena and John are among them. How many ways can we choose 8 children to be among the selected A) was John B) was John and Alena C) at least one was Alena, John D) maximum one wa
• Fruits
  In the shop sell 4 kinds of fruits. How many ways can we buy three pieces of fruit?
• Flags
  How many different flags can be made from colors red, yellow, blue, green, white to consist of three different colors?
• Hockey match
  The hockey match ended with result 3:1. How many different storylines may have the match?
• Roses 2
  Aunt Rose went to the flower shop to buy a bouquet with three roses. The flower shop had white, yellow and red roses. How many different flowers bouquet can a flower make for Aunt Rose create? Write all the bouquet options.
• Chess
  How many different ways can initiate a game of chess (first pass)?
• Prize
  How many ways can be rewarded 9 participants with the first, second and third prize in a sports competition?