# Combinatorics - math word problems

- Football league

In the 5th football league is 10 teams. How many ways can be filled first, second and third place? - Candy

How many ways can divide 10 identical candies to 5 children? - Playing cards

How many possible ways are to shuffle 7 playing cards? - Pairs

At the table sit 10 people, 5 on one side and 5 on the other side. Among them are 3 pairs. Every pair wants to sit opposite each other. How many ways can they sit? - Scrap

From 6 products are 3 scrap. What is the probability that the random pick of 2 products have no defective product? - Sales

From statistics of sales goods, item A buy 51% of people and item B buys 59% of people. What is the probability that from 10 people buy 2 item A and 8 item B? - Morse alphabet

Calculate how many words of Morse code to create compiling commas and dots in the words of one to four characters. - Stacks

Annie has a total of $ 702. The money must be divided into stacks so that each buyer has the same amounth of dollars. How many options she have? - Coin and die

Flip a coin and then roll a six-sided die. How many possible combinations are there? - Lock

Combination lock will open when the right choice of 5 numbers (from 1 to 12 inclusive) is selected. A. How many different lock combinations are possible? B. Is he combination lock named appropriately? - Dices

We will throw two dice. What is the probability that the ratio between numbers on first and second dice will be 1:2? - N-gon

How many diagonals has convex 11-gon? - Event probability

The probability of event P in 8 independent experiments is 0.33. What is the probability that the event P occurs in one experiment (probability is same)? - Subsets

How many are all subsets of set ?? - Balls

From the urn in which are 7 white balls and 17 red, gradually drag 3-times without replacement. What is the probability that pulls balls are in order: red red red? - Shooter

The probability that a good shooter hits the center of the target circle I is 0.1. The probability that the target hit intercircle is II 0.58. What is the probability that it hits the target circle I or II? - Pairs

From the five girls and four boys teachers have to choose one pair of boy and girl. A) How many such pairs of (M + F)? B) How many pairs where only boys (M + M)? C) How many are all possible pairs? - Events

Event P has probability of 0.84. What is the probability that the event P occurs in 3, 5, 7 try. - Pizza

A school survey found that 12 out of 15 students like pizza. If 6 students are chosen at random, what is the probability that all 6 students like pizza? - Insurance

The owner of the house is insured against natural disasters and pays 0.04% annually of the value of house 77 Eur. Calculate the value of the house. Calculate the probability of disaster, if you know that 48% of the insurance is to pay damages.

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