# Reason + combinatorial number - math problems

#### Number of problems found: 54

• 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?
• 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
• Hockey Hockey match ended 8:2. How many different matches could be?
• Divide How many different ways can three people divide 7 pears and 5 apples?
• Two-element combinations Write all two-element combinations from elements a, b, c, d.
• Dice We throw five times the dice. What is the probability that six fits exactly twice?
• First class The shipment contains 40 items. 36 are first grade, 4 are defective. How many ways can select 5 items, so that it is no more than one defective?
• Combinations of sweaters I have 4 sweaters two are white, 1 red and 1 green. How many ways can this done?
• Fruits In the shop sell 4 kinds of fruits. How many ways can we buy three pieces of fruit?
• Circles How many different circles is determined by 9 points at the plane, if 6 of them lie in a straight line?
• Lines In how many points will intersect 14 different lines, where no two are parallel?
• Bouquets In the flower shop they sell roses, tulips and daffodils. How many different bouquets of 5 flowers can we made?
• Subsets How many 19 element's subsets can be made from the 26 element set?
• Bridge cards How many bridge hands are possible containing 4 spades,6 diamonds, 1 club, and 2 hearts?
• Three reds What is the probability that when choosing 3 carats from seven carats, all 3 reds will be red?
• Three-digit numbers How many three-digit numbers are from the numbers 0 2 4 6 8 (with/without repetition)?
• Party At the party everyone clink with everyone. Together, they clink 406 times. How many people were at the party?
• Hockey match The hockey match ended with result 3:1. How many different storylines may have the match?
• Chocolates In the market we have 3 kinds of chocolates. How many ways can we buy 14 chocolates?
• 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?

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...

See also our combinations calculator. Reason - math word problems. Combinatorial number - math word problems.