# Combinatorial number - high school - math problems

#### Number of problems found: 120

• 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
• Combinations
If the number of elements increase by 3, it increases the number of combinations of the second class of these elements 5 times. How many are the elements?
• Calculation of CN
Calculate: ?
• Trinity
How many different triads can be selected from group 38 students?
• Count of triangles
Given a square ABCD and on each side 8 internal points. Determine the number of triangles with vertices at these points.
• Tournament
Determine how many ways can be chosen two representatives from 34 students to school tournament.
• Families 2
Seven hundred twenty-nine families are having six children each. The probability of a girl is 1/3, and the probability of a boy is 2/3. Find the number of families having two girls and four boys.
• Hockey
Hockey match ended 8:2. How many different matches could be?
• Examination
The class is 21 students. How many ways can choose two to examination?
• Teams
How many ways can divide 16 players into two teams of 8 member?
• 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?
• 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?
• Diagonals
What x-gon has 54 diagonals?
• Combinations
From how many elements we can create 990 combinations 2nd class without repeating?
• Combinatorics
The city has 7 fountains. Works only 6. How many options are there that can squirt ?
• Committees
How many different committees of 2 people can be formed from a class of 21 students?
• Disco
On the disco goes 12 boys and 15 girls. In how many ways can we select four dancing couples?
• Blocks
There are 9 interactive basic building blocks of an organization. How many two-blocks combinations are there?
• Find the 2
Find the term independent of x in the expansion of (4x3+1/2x)8

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