Study

Basic Counting Techniques

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  • A teacher has 6 boys and 4 girls. How many pair of students can she choose from if order and gender don't matter?
    45
  • You can wear 3 T-shirts and 2 types of pants. How many outfit combinations can you create?
    6
  • You have 4 types of cookies and 3 types of drinks. How many different orders can you make if you choose one cookie and one drink?
    12
  • Choose 1 snack from 4 options or 1 drink from 3 options. You can only pick one. How many choices do you have?
    7
  • How many different 3-digit numbers can be made using digits 1, 2, 3 if repetition is not allowed?
    6
  • You have 5 books, and you want to arrange all of them on a shelf. In how many ways can you arrange them?
    120
  • A teacher has 6 boys and 4 girls. How many students can she choose from if she needs only one student?
    10
  • You’re going to the gym on Monday or Friday.  You can only take one class per day. There are 3 classes on Monday, and 2 on Friday. How many different gym schedules can you make?
    5
  • For your top, you can choose one in 3 T-shirts. For your bottom, you can choose one in 2 types of pants or 3 types of shorts. How many outfit combinations can you create?
    15
  • A burger shop has 3 buns, 4 patties, and 2 sauces. How many types of burgers can you make? (Choose 1 of each)
    24
  • You roll two dice, one red and one blue. How many total outcomes are possible?
    36
  • You are choosing a team of 2 students (order matters) from 5 classmates. How many different teams can be formed?
    20
  • You are designing T-shirts with 3 sizes, 5 colors, and 2 designs. How many different types of shirts can you make?
    30
  • You have 4 types of cookies and 3 types of drinks. How many different orders can you make if you choose one cookie and one drink?
    12
  • You’re going go to the gym on Monday and Friday. You can only take one class per day. There are 3 classes on Monday, and 2 on Friday. How many different gym schedules can you make?
    6
  • A teacher has 6 boys and 4 girls. How many students can she choose from if she needs only one student?
    10