# Variations + reason - math problems

#### Number of problems found: 55

• Five number code I have a 5 digit code on the bag that I forgot. All I remember is that it was a symmetric number and the sum of its digits was 22. Write all the numbers that can be a code. .
• 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
• 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?
• Cups on the shelf Two green, three red, and two yellow cups should be placed side by side on the shelf. a) How many different ways of setting up can arise? b) How many different ways of arranging can arise if cups of the same color stand side by side?
• Number 4 Kamila wrote all natural numbers from 1 to 400 inclusive. How many times did she write the number 4?
• 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
• Wagons We have six wagons, two white, two blue, and two red. We assemble trains from them, wagons of the same color are exactly the same, so if we change only two white wagons on a train, it's still the same train, because I don't know any different. How many di
• 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?
• Boys and girls There are 20 boys and 10 girls in the class. How many different dance pairs can we make of them?
• Year 2020 The four-digit number divided by 2020 gives a result of 1, **. (Can not be in form 1,*0. ) Write all the options.
• Two groups The group of 10 girls should be divided into two groups with at least 4 girls in each group. How many ways can this be done? There are 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected.
• One three We throw two dice. What is the probability that max one three falls?
• Bookshelf and books How many ways can we place 7 books on a bookshelf?
• A jackpot How many times must I play this jackpot to win? A jackpot of seven games having (1 X 2), i. E. , home win or away win.
• Pages counting There are pages numbered from 2 to 104 in the book. How many digits have to be printed to number the pages?
• Chocolates How many ways can we distribute 8 different chocolates to four children?

Do you have an exciting math question or word problem that you can't solve? Ask a question or post a math problem, and we can try to solve it.

We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...

See also our variations calculator. Variations - math problems. Reason - math problems.