Variations + multiplication - math problems

Number of problems found: 105

  • Round table
    Find the number of ways in which 8 people can be seated at a round table, such that 2 of them always sit together.
  • The flag
    The flag should consist of 3 different colored stripes. Available colors: white, red, blue, green and yellow. Specify: A) number of all flags B) number of flags with a blue stripe C) number of flags with a blue stripe in the middle D) the number of flags
  • Hockey Championships
    At the 2021 World Hockey Championships, there are eight teams in Group A, each of which plays seven matches. There are 4 points for each team to gain points (3-2-1-0), but it is always paired with the opponent's points ( 0-1-2-3). How many points are ther
  • A married
    A married couple planned to have 3 children. i. List the possible combinations of the sexes of 3 children. Use B for boy and G for girl. ii. Calculate the probability that all three children would be of the same gender
  • There 8
    There are 7 women and 5 men in a department. a) how many ways can a committee of 3 people be selected? b) how many ways can a committee of 2 men and 1 woman be selected? c) how many ways can a committee of at least 2 woman be selected (3 people total)?
  • Three wagons
    I have 6 different people (A, B, C, D, E, F), which I have to place into 3 wagons, if it depends on who will board. How many options are there?
  • Tic-tac-toe
    In how many ways could 9 participants of the school round of five-in-a-row win the first three places?
  • Permutations with repetitions
    How many times the input of 1.2.2.3.3.3.4 can be permutated into 4 digits, 3 digits and 2 digits without repetition? Ex: 4 digits = 1223, 2213, 3122, 2313, 4321. . etc 3 digits = 122.212.213.432. . etc 2 digits = 12, 21, 31, 23 I have tried permutation fo
  • Seedbeds
    The father wants to plant 2 seedbeds of carrot and 2 seedbeds of onion. Use a tree chart to find how many different options for placing the seedbeds he has.
  • Number 4
    Kamila wrote all natural numbers from 1 to 400 inclusive. How many times did she write the number 4?
  • Wedding guests
    Fifteen wedding guests could not agree on who would stand in the wedding photo. The groom suggested that all possible sets of wedding guests be made in the photographs.
  • School committee
    Seven students were elected to the school committee. In how many ways can become the President, Vice-President, Secretary, and Treasurer be selected?
  • Big numbers
    How many natural numbers less than 10 to the sixth can be written in numbers: a) 9.8.7 b) 9.8.0
  • You have
    You have 4 reindeer and you want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line. How many different ways can you arrange your reindeer?
  • How many 4
    How many four-digit numbers that are divisible by ten can be created from the numbers 3, 5, 7, 8, 9, 0 such no digits repeats?
  • Coffe cups
    We have 4 cups with 4 different patterns. How many possible combinations can we create from 4 cups?
  • 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
  • Gold, silver, bronze
    How many ways can we divide gold, silver, bronze medals if 6 people are competing?
  • Five letters
    How many ways can five letters be arranged?
  • Possible combinations - word
    How many ways can the letters F, A, I, R be arranged?

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