# Factorial - practice problems

#### Number of problems found: 107

- Indistinguishable 74294

We have eight compartments where we put three indistinguishable balls and two distinguishable ones. How many options do we have? - Parking 72644

How many ways can ten cars park side by side in a parking lot? - Assemble 70414

How many ways can we assemble five wagons when sand is in three wagons and cement in two? - Classical 69634

Peter, Jano, Alice, and Rebecca went to a classical music concert. How many different ways can they sit in the four free seats if Rebecca wants to sit with John? - Arrangements 68764

We have two identical blue balls and two identical red balls. We arrange them in a row in all ways. How many different arrangements are there? - Gradually 67284

At the beginning of the summer holidays, Petra borrowed four books from the library. How many orders in which she could gradually read them? - Four-letter 67124

How many different four-letter words can we create from the letters of the word JAMA? - Word OPTICAL

Find the number of possible different arrangements of the letters of the word OPTICAL such that the vowels would always be together. - Different 65344

Marian obtained two different marks in one day. How many ways these marks did he can get? - Horizontally 64874

How many ways can an arranger display five different shampoos horizontally next to each other? - 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? - Triangle from sticks

Bob the boulder has many sticks of length 3,5 and 7 . He wants to form triangles each of whose edges consists of exactly 1 stick. How many non congruent can be form with the sticks. - Book Store

The Mabini Book Store (MBS) is reducing the prices of Mathematics books for promotion. The store has 6 Algebra books, 6 Geometry books, and 5 Statistics books to be arranged on a shelf. How many ways can these books be arranged on a shelf if books of the - Characters 63404

How many characters can we create from two commas and four dots? - Arrangements 63384

Determine the number of arrangements of these six elements: a, a, a, b, b, c. - School group

There are 5 girls and 7 boys in the group. They sit in a row next to each other. How many options if no two girls sit next to each other. - The flag

The flag should consist of 3 different colored stripes. Available colors: white, red, blue, green and yellow. Specify: A) number of all flags B) number of flags with a blue stripe C) number of flags with a blue stripe in the middle D) the number of flags - Indistinguishable 48981

How many ways can we build eight indistinguishable towers on an 8 × 8 board so that they don't endanger each other? - How many 13

How many ways can X³ y⁴ z³ be written without an exponent? - A department

There are 7 women and 5 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 1 woman be selected? c) how many ways can a committee of at least 2 woman be selected (3 people total)?

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