Factorial - practice problems - page 2 of 7
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 135
- Classical 69634
Peter, Jano, Alice, and Rebecca attended a classical concert. How many different ways can they sit in the four free seats if Rebecca wants to sit with John? - Other
On other days, I often see two colors in front of my eyes - blue and yellow. I feel sad about what is happening. That is why I have a role for you today about colors. I have 5 markers in my pencil case: blue, yellow, green, red, and purple. How many ways - 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
Petra borrowed four books from the library at the beginning of the summer holidays. 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 can he get?
- Individual 65004
In the computer game, you need to collect 5 objects in the room: a sword, a ring, a picture, a key, and a coin. It depends on the order in which we collect the individual objects. If the order is wrong, we will lose a life. How many are all in order? - 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 lengths 3.5 and 7. He wants to form triangles, each of whose edges consists of exactly one stick. How many non-congruent triangles can be formed 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. Books of the same kind are to be placed beside each other. How many w
- 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. - 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?
- School group
There are five girls and seven 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 are 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 fla - Combinatorics
In how many different ways can we seat three people on three chairs, four on four, five on five, and six on six chairs? Find common properties when selecting objects from the point of view of combinatorics. Find out the principle of calculating all possib - Indistinguishable 48981
How many ways can we build eight indistinguishable towers on an 8 × 8 board so they don't endanger each other? - How many 13
How many ways can X³ y⁴ z³ be written without an exponent?
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