Combinations with repetition - practice problems
Number of problems found: 46
- 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? - 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
In the garden we want to plant 5 fruit trees, of which three are apple trees and two pears. How many different ways can we organize them? - Permutations with repetitions
How many times the input of 1.2.2.3.3.3.4 can be permutated into 4 digits, 3 digits and 2 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 permutation fo - 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. It has rubies, emeralds, and sapphires. How many options does he have? - Chocolates 38751
Jana wants to buy six chocolates in the store. The store offers only three species of chocolates. How many options does it have? - Syrups
In the shop they sell 3 types of syrups - apple, raspberry, orange. How many ways can you buy 4 bottles of syrup? - Seedbeds
The father wants to plant 2 seedbeds of carrot and 2 seedbeds of onion. Use a tree chart to find how many different options for placing the seedbeds he has. - Honored students
Of the 25 students in the class, 10 are honored. How many ways can we choose 5 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? - Points in space
There are n points, of which no three lie on one line and no four lies on one plane. How many planes can be guided by these points? How many planes are there if there are five times more than the given points? - Wagons
We have six wagons, two white, two blue, and two red. We assemble trains from them, wagons of the same color are exactly the same, so if we change only two white wagons on a train, it's still the same train, because I don't know any different. How many di - Divide
How many different ways can three people divide 7 pears and 5 apples? - Fruits
In the shop sell 4 kinds of fruits. How many ways can we buy three pieces of fruit? - Bouquets
In the flower shop, they sell roses, tulips, and daffodils. How many different bouquets of 5 flowers can we make? - 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 4 types of flowers would be possible?
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