# Natural numbers + factorial - practice problems

#### Number of problems found: 28

- Determine 4132

Determine the value of x in this equation: x! · 4 = x³. x is a natural number. - Candy

How many ways can 10 identical candies be divided among 5 children? - 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 - Classmates 18173

Classmates Anka, Bea, Villa, and Danka can sit next to each other on the bus. What and how many ways can they sit down?

- Arranged 37131

Jane wants to organize 4 English and 3 Slovak books on the shelf to arrange first English and then Slovak books. How many ways can it do that? - 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? - You have

You have four reindeer, and you want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line. How many different ways can you arrange your reindeer? - Different 42371

How many ways can you store seven different books side-by-side when a math book has to be on the edge of the shelf? - Tournament 35441

Sixteen teams will compete in the hockey tournament. How many ways can a gold, silver, and bronze medal be awarded?

- Round table

Eight people are sitting at a round table. In how many ways can they be seated around the table? - SKMO

Petra had written natural numbers from 1 to 9. She added two of these numbers, deleted them, and wrote the resulting sum instead of the summaries. She thus had eight numbers written down, which she managed to divide into two groups with the same product. - 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 difference. How many di - Wedding guests

Fifteen wedding guests could not agree on who would stand in the wedding photo. The groom suggested that all possible sets of wedding guests be made in the photographs. - Lunch

Seven classmates go every day for lunch. If they always come to the front in a different order, will it be enough school year to take of all the possibilities?

- Guaranteed 37611

Determine how many different ways a Lotto ticket can be written if we guess six numbers out of 49. At what Jackpot would it already pay to bet so many tickets to be guaranteed to win the 1st prize? The price of one type is €1. - A department

There are seven women and five men in a department. a) how many ways can a committee of 3 people be selected? b) how many ways can a committee of 2 men and one woman be selected? c) how many ways can a committee of at least two women be selected (3 people - Cups on the shelf

We should place two green, three red, and two yellow cups side by side on the shelf. a) How many different ways of setting up can arise? b) How many different ways of arranging can arise if cups of the same color stand side by side? - Numbers

How many different 3 digit natural numbers in which no digit is repeated can be composed of digits 0,1,2? - Coffe cups

We have 4 cups with four different patterns. How many possible combinations can we create from 4 cups?

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