# Combinatorial number - math word problems

#### Number of problems found: 128

• 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: ?
• Count of triangles Given a square ABCD and on each side 8 internal points. Determine the number of triangles with vertices at these points.
• 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
• Trinity How many different triads can be selected from group 38 students?
• 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.
• 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?
• Divide How many different ways can three people divide 7 pears and 5 apples?
• 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?
• 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

Do you have an interesting mathematical word problem that you can't solve it? Submit 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...