Combinations with repetition - practice problems
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 56
- Kenneth 2
Kenneth has 100 pennies, 20 nickels, 10 dimes, and 4 quarters. How many ways can he choose coins that total 25 cents? - Grouping - combinatorics
In how many different ways can 24 people be divided into: a) 6 groups of the same size. b) Groups of 5, 6, 7, and 6 people. c) Groups of 4, 5, 7, and 8 people. - Play match
A hockey match played for three periods ended with a score of 2:3. How many possibilities are there on how the given thirds could have been completed? - Possibilities 81788 The ring consists of 4 beads. There are 5 different colors of beads in the package. How many possibilities are there to create one ring, and can the colors repeat?
- Contestants 67104
The contestants have to create an ice cream sundae containing three different types of ice cream. They can use cocoa, yogurt, vanilla, hazelnut, punch, lemon and blueberry ice cream. How many different ice cream sundaes can the contestants create? - Sons
The father has six sons and ten identical, indistinguishable balls. How many ways can he give the balls to his sons if everyone gets at least one? - Six attractions
How many opportunities do you have if you want to complete ten rides on the fair, but there are only six attractions?
- Film premiere
How can you distribute 40 cinema tickets to 15 people? - Gertrude 62304
Six boys and six girls (among them Emil, Félix, Gertrude, and Hanka) want to dance. The number of ways they can make six (mixed) couples if Emil does not want to dance with Gertrude and Hanka wants to dance with Felix is? - How many 13
How many ways can X³ y⁴ z³ be written without an exponent? - Sapphires 45461
The jeweler selects three gems in the ring. It has rubies, emeralds, and sapphires. How many choices does it have? - Fruits
We want to plant five fruit trees in the garden, of which three are apple trees and two pears. How many different ways can we organize them? - Permutations with repetitions
How many times can the input of 1.2.2.3.3.3.4 be permutated into four digits, three digits, and two digits without repetition? Ex: 4 digits = 1223, 2213, 3122, 2313, 4321. . etc 3 digits = 122.212.213.432. . etc 2 digits = 12, 21, 31, 23 I have tried the - Installments 39841
I received 30 euros in 7 installments, each installment being in whole euros. How many ways could this happen? What if the installments can be even 0 euros? How many possible solutions will there be? - The gems
The jeweler selects four gems for the ring: rubies, emeralds, and sapphires. How many options does he have?
- Chocolates 38751
Jane wants to buy six chocolates in the store. The store offers only three species of chocolates. How many options does she have? - Syrups
In the shop, they sell three types of syrups - apple, raspberry, and orange. How many ways can you buy four bottles of syrup? - Seedbeds
The father wants to plant two seedbeds of carrots and two seedbeds of onion. Use a tree chart to find how many different options he has for placing the seedbeds. - Honored students
Of the 25 students in the class, ten are honored. How many ways can we choose five students from them if there are to be exactly two honors between them? - Trainsets 35801
There are six tank cars, eight open and 12 closed wagons at the station. How many different trainsets can be assembled from them?
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