Variations + permutations - practice problems - page 8 of 9
Number of problems found: 165
- Girlfriends 4107
Four girlfriends want to take a photo together. How many different ways can they stand side by side?
- Divisions 4044
School players scored seven goals in the match. List all possible goal divisions into three-thirds and add up how many.
- Tokens
The non-transparent bags contain red, white, yellow, and blue tokens. We pulled one token three times and returned it again, writing down all possibilities.
- Combinations of sweaters
I have four sweaters: two white, one red, and one green. How many ways can you sort them out?
- Dices throws
What is the probability that the two throws of the dice: a) Six falls even once b) Six will fall at least once
- Eight blocks
Dana had the task of saving the eight blocks of these rules: 1. Between two red cubes must be a different color. 2. Between two blue must be two different colors. 3. Between two green must be three different colors. 4. Between two yellow blocks must be fo
- Keyboards keys
Michael had small keys on the shelf, which you can see in the picture. Their tones were marked on the white keys. Little Clara found the keys. As she took them off the shelf, they fell out of her hand, and all the white keys spilled out. So that the broth
- Password dalibor
Kamila wants to change the password daliborZ by a) two consonants exchanged between themselves, b) changes one little vowel to such same great vowel c) makes these two changes. How many opportunities do you have a choice?
- Three-digit numbers
How many three-digit numbers are from the numbers 0, 2, 4, 6 8 (with/without repetition)?
- Neighborhood
I have 7 cups: 1 2 3 4 5 6 7. How many opportunities for standings cups are there if 1 and 2 are always neighborhood?
- Olympics
How many ways can six athletes be placed on the podium at the Olympics? Depends on the color of the metal.
- Hockey players
After we cycle, five hockey players sit down. What is the probability that the two best scorers of this crew will sit next to each other?
- Training
The table contains the tennis training schedule for Saturday's younger students during the winter indoor season. Before the start of the summer season, preparing a new training schedule, Tomas Kucera will be able to practice only in the morning. Sisters K
- Numbers
How many different 4 digit natural numbers in which no digit is repeated can be composed of digits 0,1,2,3?
- Peak
Uphill leads 2 paths and one lift. a) How many options back and forth are there? b) How many options to get there and back by the not same path are there? c) How many options back and forth are there that we go at least once a lift?
- Lock
A combination lock will open when the right choice of 3 numbers (from 1 to 16 inclusive) is selected. A. How many different lock combinations are possible? B. Is the combination lock named appropriately?
- Vans
In how many ways can 5 shuttle vans line up at the airport?
- Pairs
At the table sit 10 people, 5 on one side and 5 on the other side. Among them are 3 pairs. Every pair wants to sit opposite each other. How many ways can they sit?
- Toys
3 children pulled 12 different toys from a box. How many ways can toys be divided so each child has at least one toy?
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