# Combinatorics - math word problems

- Permutations without repetition

From how many elements we can create 720 permutations without repetition? - Six on dice

What is the probability that when throwing two dice will fall at least one six? - Combinations

From how many elements we can create 990 combinations 2nd class without repeating? - 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? - Olympics metals

In how many ways can be win six athletes medal positions in the Olympics? Metal color matters. - Volleyball

8 girls wants to play volleyball against boys. On the field at one time can be six players per team. How many initial teams of this girls may trainer to choose? - Distribution function

X 2 3 4 P 0.35 0.35 0.3 The data in this table do I calculate the distribution function F(x) and then probability p(2.5 - Two aces

From a 32 card box we randomly pick 1 card and then 2 more cards. What is the probability that last two drawn cards are aces? - Division

Division has 18 members: 10 girls and 6 boys, 2 leaders. How many different patrols can be created, if one patrol is 2 boys, 3 girls and 1 leader? - Prize

How many ways can be rewarded 9 participants with the first, second and third prize in a sports competition? - Tricolors

From the colors - red, blue, green, black and white, create all possible tricolors. - Tokens

In the non-transparent bags are red, white, yellow, blue tokens. We 3times pull one tokens and again returned it, write down all possibilities. - Red balls

In the bag there are 3 red, 12 blue and 8 green balls. How many red balls we must be attached to the bag if we want the probability of pulling out the red balls was 20%? - Competition

15 boys and 10 girls are in the class. On school competition of them is selected 6-member team composed of 4 boys and 2 girls. How many ways can we select students? - Word MATEMATIKA

How many words can be created from the word MATEMATIKA by changing the order of the letters, regardless of whether or not the words are meaningful? - 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? - Points in plane

The plane is given 12 points, 5 of which is located on a straight line. How many different lines could by draw from this points? - Elements

If the number of elements is decreased by two the number of permutations is decreased 30 times. How many elements are? - Seagull

Artificially created island in the shape of a circle with a radius of 50 m is overgrown with grass. The only exception is a landing area for helicopters in the shape of a rectangle measuring 15 m and 8 m. What is the probability that the flying seagull (wi - Variation equation

Solve combinatorics equation: V(2, x+8)=72

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