Factorial - practice for 14 year olds
Number of problems found: 59
- Married 83309
In how many ways can we seat five guests at a table, two of whom are married and want to sit next to each other? \frac{45 83268
Evaluate the following expression with factorials: (45!-44!)/(44!)- Different 82447
How many 4 colored flags can be made from 5 colors so that each flag consists of three different colors? - 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 attended a classical concert. How many different ways can they sit in the four free seats if Rebecca wants to sit with John? - 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?
- Arrangements 63384
Determine the number of arrangements of these six elements: a, a, a, b, b, c. - 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 flag - Indistinguishable 48981
How many ways can we build eight indistinguishable towers on an 8 × 8 board, so they don't endanger each other? - Factorial cancellation
Cancel the expression with factorials: 12! x 2 x 7! / 6 x 10! 8! - Megapizza
Mega pizza will be divided among 100 people. First gets 1%, 2nd 2% of the remainder, 3rd 3% of the remainder, etc. Last 100th 100% of the remainder. Which person got the biggest portion?
- 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? - Different 38123
How many ways can we put seven different books on the shelf? - Starting 38113
How many ways can we put 19 students in a row when starting a gym? - 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? - Round table
Eight people are sitting at a round table. In how many ways can they be seated around the table?
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