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 answer:

n =  20

Step-by-step explanation:

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

Try another example

Related math problems and questions:

• 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?
• Fruits
  In the shop sell 4 kinds of fruits. How many ways can we buy three pieces of fruit?
• Chocolates
  In the market we have 3 kinds of chocolates. How many ways can we buy 14 chocolates?
• Menu
  On the menu are 12 kinds of meal. How many ways can we choose four different meals into the daily menu?
• Combinations of sweaters
  I have 4 sweaters two are white, 1 red and 1 green. How many ways can this done?
• 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.
• School trip
  On a school trip, 17 of the 28 children bought ice cream or chocolate in a candy store. Twelve children bought chocolate, and nine children bought ice cream. How many children bought ice cream and chocolate? How many children did not buy ice cream? How ma
• Ice cream in cone
  In the ice cream cone with a diameter of 5.7 cm is 0.8 dl of ice cream. Calculate the depth of the cone.
• Prize
  How many ways can be rewarded 9 participants with the first, second, and third prizes in a sports competition?
• 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?
• Divide
  How many different ways can three people divide 7 pears and 5 apples?
• Examination
  The class is 25 students. How many ways can choose 5 students to examination?
• 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
• Flags
  How many different flags can be made from colors red, yellow, blue, green, white to consist of three different colors?
• Research in school
  For particular research in high school, four pupils are to be selected from a class with 30 pupils. Calculate the number of all possible results of the select and further calculate the number of all possible results, if it depends on the order in which th
• Sweater
  Dana confuses sweater and wool has a choice of seven colors. In how many ways can she choose from three colors to the sleeves?