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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