Combinatorics - math word problems - page 14 of 54
Number of problems found: 1079
- Trinity - triads
How many different triads can be selected from group 36 students?
- Weekly service
There are 29 pupils in the class. How many opportunities has the teacher randomly selected for two pupils to have a week-class service?
- Components
The 7 white, 4 blue, and 3 red components are in the box. What is the probability that we pull one white, one blue, and one red component without returning it?
- Pizza
A school survey found that 10 out of 15 students like pizza. If 5 students are chosen randomly, what is the probability that all 5 students like pizza?
- Calculation of CN
Calculate: (486 choose 159) - (486 choose 327)
- Examination
The class is 25 students. How many ways can we choose 5 students for examination?
- Teams
How many ways can we divide 14 players into two teams of 7 members?
- Confectionery
The village markets have 5 kinds of sweets. One weighs 31 grams. How many different ways can a customer buy 1.519 kg sweets?
- Chords
How many 4-tones chords (chord = at the same time sounding different tones) is possible to play within 7 tones?
- Chess
How many ways can you select 4 fields on a classic chessboard with 64 fields so that fields don't have the same color?
- Chambers
The decision-making committee consists of three people. For the commission's decision to be valid, at least two members must vote similarly. It is not possible not to vote in the commission. Everyone only votes yes or no. We assume that the first two memb
- Peter and Lucy
In a group of 3 boys and 4 girls, two players are drawn to play a game. Among the girls is Lucy, and among the boys is Petr (both are the only ones with that name). The first one drawn will be the captain, the second the helmsman. What is the probability
- Second prize
Jamie and Mark each bought a raffle ticket to win a new laptop or a new cell phone, where only 125 tickets were told. The first ticket holder wins the prize of their choice and is removed from the drawing. The holder of the second ticket drawn wins the re
- Raffle
There are 200 draws in the raffle, but only 20 of them win. What is the probability of at least four winnings for a group of people who have bought five tickets together?
- Ninth-grade 5446
When the ninth-grade boys and girls said goodbye at the end of the school year, they each gave each other their photos. It was a total of 552 images. How many farewells were there?
- Box of donuts
Elizabeth brought a box of donuts to share. There are two dozen (24) donuts in the box, all identical in size, shape, and color. Six are jelly-filled, ten are lemon-filled, and eight are custard-filled. You randomly select one donut, eat it, and s
- Goalkeeper
Mike plays as the goalkeeper 50% of the time if Peter is the coach in a football game. However, if Robert were coaching, he would only have a 30% chance. Peter coaches more than Robert in about 6 to 10 games. What is the probability that Mike gets to be t
- Password dalibor
Kamila wants to change the password daliborZ by a) two consonants exchanged between themselves, b) changes one little vowel to such same great vowel c) makes these two changes. How many opportunities do you have a choice?
- Combinations
How many different combinations of two-digit numbers divisible by four arise from the digits 3, 5, and 7?
- Two-digit 3456
Write all the two-digit numbers that can be composed of the digit 7,8,9 without repeating the digits. Which ones are divisible b) two, c) three d) six?
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