Combinatorics - math word problems - page 26 of 57
Number of problems found: 1135
- Light bulbs
You are in a room with 3 switches. In the next room, there are 3 switched-off classic light bulbs in table lamps; each switch belongs to one light bulb. You cannot see from one room to the other. How do you find out which switch belongs to which light bul - Research in school
For particular research in high school, four pupils are selected from a class of 30 pupils. Calculate the number of all possible results of the selection and further calculate the number of all possible results if it depends on the order in which the stud - Twelve flowers
A florist has roses, tulips, daffodils, and carnations to use in flower arrangements. If she were to make an arrangement using 12 flowers, how many different combinations of these four types of flowers would be possible? - Planting Ornamental Trees Ways
The gardener is to plant 6 ornamental trees. There are 8 different types of trees available. Two trees, A and B, will be planted on the left edge. How many ways can a gardener do this if all the saplings planted are to be different? - Four-Digit PIN Codes
How many 4-digit numeric pin codes can be created so that not all four digits are identical? - Footballers 2
Footballers have jerseys numbered 7, 8, 9, 10, and 11. The coach wants to send them to attack: a) so that no two even-numbered jerseys are adjacent, b) so that no two odd-numbered jerseys are adjacent. How many options does he have in each case? - Mobile phone settings
Lucia's mobile phone offers a choice of 10 ringtones, seven tones when receiving an SMS, and 15 wallpapers in the background of the display. How many ways can Lucia set up her mobile? - Word OPTICAL
Find the number of possible different arrangements of the letters of the word OPTICAL such that the vowels would always be together. - Combinations and eggs
You have colored 4 red eggs, 3 green, 4 yellow, 5 blue, and 5 white. A caroler stops by you, and you decide to give him three eggs of different colors. How many options (different color combinations) do you have for gifting a caroler? - Bridge cards
How many bridge hands are possible containing 4 spades, 6 diamonds, 1 club, and 2 hearts? - Roses 2
Aunt Rose went to the flower shop to buy three rose bouquets. The flower shop had white, yellow, and red roses. How many different flowers bouquets can a flower make for Aunt Rose create? Write all the bouquet options. - Four-Digit Lock Codes
How many four-digit codes on the wheel lock can we create from the digit 0,1,2,3,4,5,6,7,8,9 if it is true that we cannot repeat the numbers? - Rain probability
In recent years, it has rained 12 days in March. What is the probability that it rained on March 18? - On the windowsill
On the windowsill, 6 different flowers in flower pots are to be arranged next to each other. Four are flowering (one of them is a primrose), the rest are decorative with leaves (one of them is a fern). Determine: a) how many different arrangements can be - Probability 86
At a business conference, there were ten social workers, 16 doctors, five lawyers, and two journalists. If a person is picked at random from the entire group, what is the probability: a) to be a lawyer b) to be a doctor. - Black car probability
Oskar observes the arrivals and departures of cars in the parking lot. At one point, there were 99 cars in the parking lot: 25 red, 17 white, and the rest were black. What is the percentage probability that a black car was leaving the parking lot at a giv - Weekly student selection
There are 16 students in the class. If the teacher wants to choose two students who will be weekly, how many options does she have? - Tournament
How many matches will be played in a football tournament in which there are two groups of 5 teams if one match is played in groups with each other and the group winners play a match for the tournament's overall winner? - Different Colored Necklaces
Elena has four beads: yellow, two pink, and green. How many different colored necklaces can he create? - Goal divisions
School players scored seven goals in the match. List all possible goal divisions into three-thirds and add up how many.
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