Combinatorics - math word problems - page 43 of 55
Number of problems found: 1090
- Round table
Find the number of ways in which eight people can be seated at a round table such that 2 of them always sit together. - Bookshelf and books
How many ways can we place seven books on a bookshelf? - Three digits number
How many are three-digit integers such that they have no digit repeats? - Ace
We pulled out one card from a complete set of playing cards (32 cards). What is the probability of pulling the ace? - Guests
How many ways can 8 guests sit down on 10 seats standing in a row? - School trip
The class has 19 students. How can students be accommodated in the hostel, where available 3× 2-bed, 3× 3-bed and 1× 4-bed rooms? (Each room has its unique number) - Seating
How many ways can 7 people sit on 5 numbered chairs (e.g., seat reservation on the train)? - Permutations Equation Elements
Seven times the permutations of n elements equal one-eighth of the permutations of n + 2 elements. What is the number of elements? - Volleyball Tournament Matches Count
In the volleyball tournament, three teams and four foreign teams played, each with each other, in one match without revenge. How many games have been played? - Four-digit numbers
The numbers 1,2,3,4,5 are given. Role: a) how many 4-digit numbers can we create if the digits cannot be repeated? b) how many generated numbers will not contain the digit 1? c) How many of the generated numbers will be divisible by 5? d) How many of the - The following
The following data represents the number of cases of coffee or filters sold by four sales reps in a recent sales competition. Sales Person; Gourmet; Single Cup; Filters; Total Connor; 142; 325; 30; 497 Paige ; 42; 125; 40; 207 Bryce ; 9; 100; 10; 119 Mall - Boys and girls
There are eight boys and nine girls in the class. There were six children on the trip from this class. What is the probability that: a) only boys went on the field trip b) just 2 boys went on the field trip - Shelf
How many ways are there to arrange 6 books on a shelf? - Event probability
The probability of event N in 5 independent experiments is 0.4. What is the probability that the event N occurs in one experiment (chance is the same)? - Dice conditional probability
I roll a 7-wall dice. What is the conditional probability that three fell if an odd number fell? - Dice probability
We throw a die seven times. What is the probability that: a) the first, second, and third times fall six and not in all the others, b) 5 does not fall four times in a row, and yes, in the last 3 hours? - Dices
We will throw two dice. What is the probability that the ratio between numbers on the first and second dice will be 1:2? - Probability - triangles
We have five lines with lengths of 3cm, 5cm, 7cm, 9cm, and 11cm. What is the probability that we will be able to construct a triangle with randomly selected three? - Exchange € 100
Find out how many ways you can exchange € 100 if you have an unlimited number of 50, 20, 10, and 5 euro banknotes. Use a method other than listing all options systematically. - Twenty
Twenty swallows sit on a 10 m long telephone cable. Assume that swallows are completely randomly distributed along the line. (a) What is the probability that more than three swallows sit on a randomly selected section of cable 1 m long? (b) What is the pr
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