Combinatorics - math word problems - page 33 of 57
Number of problems found: 1135
- Train Set Markings
For shorter distances, small train sets are marked with three different letters from the company name run; how many small sets can be marked like this? - Bag error probability
There are 10 bags displayed in the store, 2 of which have a hidden error. Buyers randomly choose one bag. Express in percentages the probability that they will buy the bag without a mistake. - Monogram letter combinations
Calculate how many different monograms (short name and surname) I can make from the letters A, E, M, Z, and K. a) with repetition: b) without repetition: - How many 23
How many times should a dice be rolled to obtain a most likely number of 2 points on it to be equal to 32? - Ball arrangement ways
We have two identical blue balls and two identical red balls. We arrange them in a row in all ways. How many different arrangements are there? - Sound triple creation
How many triples of sounds can be created from sounds f, o, u, r? You solve using a tree diagram. - Five-digit number creation
List all five-digit numbers in ascending order that can be formed using the digits three, four, and two zeros. - Couple train boarding
Ten married couples board the train, which has five cars. How many ways can they take if no two spouses want to be in the exact vehicle? - Balls in row
Calculate the number of ways of placing four black balls, four turquoise balls, and five gold balls in a row. - Round table
Eight people are sitting at a round table. In how many ways can they be seated around the table? - Four-digit numbers
How many four-digit numbers can we make from the numbers 2, 6, 3, 5, 1, and 9 if we cannot repeat the numbers in the number? - Gold, silver, bronze
How many ways can we divide gold, silver, and bronze medals if six people compete? - Team formation ways
Determine in how many ways a four-member team can be chosen from 6 men and 4 women, such that there are exactly 2 men on the team. - Birth
Let's assume that the probability of the birth of a boy and a girl in the family is the same. What is the probability that the youngest and oldest child in a family with five children is a boy? - Three-digit numbers
Use the number 4,5,8,9 to write all three-digit numbers without repetition. How many such numbers are there? - Digits
How many five-digit numbers can be written from numbers 0.3,4, 5, and 7 divided by 10, and digits are repeated? - Tricolors
From the colors - red, blue, green, black, and white, create all possible tricolors. - Cards
Suppose that are three cards in the hats. One is red on both sides, one of which is black on both sides, and a third one side red and the second black. We randomly pull out a hat on one card and see one side of it is red. What is the probability that the - Three-digit numbers
How many three-digit numbers are from the numbers 0, 2, 4, 6 8 (with/without repetition)? - Olympics
How many ways can six athletes be placed on the podium at the Olympics? Depends on the color of the metal.
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