# 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?

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