# Permutations + reason - math problems

#### Number of problems found: 36

• Balls in row Calculate the number of ways of placing 4 black balls, 4 turquoise balls and 5 gold balls in a row.
• 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
• Pairs of socks Ferdinand has twelve pairs of socks, and one sock is leaky. What is the probability of putting on a leaky sock? There are 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected.
• Three numbers We have three different non-zero digits. We will create all 3 digits numbers from them to use all 3 figures in each number. We add all the created numbers, and we get the sum of 1554. What were the numbers?
• Three-digit numbers Use the numbers 4,5,8,9 to write all three-digit numbers without repetition. How many such numbers are there?
• Inverted nine In the hotel Inverted Nine, each hotel room number is divisible by 6. How many rooms can we count with the three-digit number registered by digits 1,8,7,4,9?
• Lunch Seven classmates go every day for lunch. If they always come to the front in a different order, will be enough school year to take of all the possibilities?
• Digit sum How many are three-digit numbers that have a digit sum of 6?
• 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?
• Triangles Five sticks with a length of 2,3,4,5,6 cm. How many ways can you choose three sticks to form three sides of a triangle?
• Twins with friend The twins Danka and Janka went to the cinema with their friend Betka. Only six seats in the second row were available in the cinema. The twins want to sit next to each other, and Danka always to the right of Janka and Betka near one of them. How many do t
• Desks A class has 20 students. The classroom consists of 20 desks, with 4 desks in each of 5 different rows. Amy, Bob, Chloe, and David are all friends, and would like to sit in the same row. How many possible seating arrangements are there such that Amy, Bob,
• Word MATEMATIKA How many words can be created from the phrase MATEMATIKA by changing the letters' order, regardless of whether the words are meaningful?

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