# Permutations + combinatorial number - math problems

#### Number of problems found: 21

• VCP equation
Solve the following equation with variations, combinations and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0
• A pizza
A pizza place offers 14 different toppings. How many different three topping pizzas can you order?
• N-gon
How many diagonals has convex 11-gon?
• 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?
• Tournament
Six teams entered the basketball tournament. How many matches will be played if each team has to play one match with each other?
• Combinations of sweaters
I have 4 sweaters two are white, 1 red and 1 green. How many ways can this done?
• Word
What is the probability that a random word composed of chars E, Y, G, E, R, O, M, T will be the GEOMETRY?
• Three-digit numbers
How many three-digit numbers are from the numbers 0 2 4 6 8 (with/without repetition)?
• Hockey match
The hockey match ended with result 3:1. How many different storylines may have the match?
• Raffle
There are 200 draws in the raffle, but only 20 of them win. What is the probability of at least 4 winnings for a group of people who have bought 5 tickets together?
• Three workplaces
How many ways can we divide nine workers into three workplaces if they need four workers in the first workplace, 3 in the second workplace and 2 in the third?
There are 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected.
• Classroom
Of the 26 pupils in the classroom, 12 boys and 14 girls, four representatives are picked to the odds of being: a) all the girls b) three girls and one boy c) there will be at least two boys
• Soccer teams
Have to organize soccer teams. There are 3 age groups. How many different ways can you organize teams of ten for each age group? Is this a permutation or combination?
• Competition
15 boys and 10 girls are in the class. On school competition of them is selected 6-member team composed of 4 boys and 2 girls. How many ways can we select students?
• Boys and girls
There are eight boys and nine girls in the class. There were six children on the trip from this class. What is the probability that left a) only boys b) just two boys
• Rectangles
How many rectangles with area 8713 cm2 whose sides are natural numbers are?
• 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?
• Salami
How many ways can we choose 5 pcs of salami if we have 6 types of salami for 10 pieces and one type for 4 pieces?
• 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

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