Multiplication + combinatorial number - math problems

Number of problems found: 64

Count of triangles
Given a square ABCD and on each side 8 internal points. Determine the number of triangles with vertices at these points.
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?
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
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?
Menu
On the menu are 12 kinds of meal. How many ways can we choose four different meals into the daily menu?
Tournament
Six teams entered the basketball tournament. How many matches will be played if each team has to play one match with each other?
Divide
How many different ways can three people divide 7 pears and 5 apples?
2nd class combinations
From how many elements you can create 4560 combinations of the second class?
Prize
How many ways can be rewarded 9 participants with the first, second and third prize in a sports competition?
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?
Beads
How many ways can we thread 4 red, 5 blue, and 6 yellow beads onto a thread?
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?
Word
What is the probability that a random word composed of chars E, Y, G, E, R, O, M, T will be the GEOMETRY?
Cards
From a set of 32 cards we randomly pull out three cards. What is the probability that it will be seven king and ace?
Bridge cards
How many bridge hands are possible containing 4 spades,6 diamonds, 1 club, and 2 hearts?

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