Permutations - practice problems - page 7 of 13
Number of problems found: 242
- Wedding guests
Fifteen wedding guests could not agree on who would stand in the wedding photo. The groom suggested that all possible sets of wedding guests be made in the photographs.
- School committee
Seven students were elected to the school committee. How many ways can the President, Vice-President, Secretary, and Treasurer be selected?
- Participants 31351
How many ways can the first, second, and third prizes be awarded to the 15 participants in the math competition?
- Complexity 30631
Here, you have a task to think about but don't look for great complexity in it. You have 6 bulbs connected here. A to F and 6 switches No. 1 to No. 6. Your task will be to gradually determine which bulbs will always be on if any of the switches are in the
- Non-repeating 30101
1. How many different options are there for exchanging a ten-euro bill with one-euro, two-euro, and five-euro bills? a) 5 b) 8 c) 14 d) 10 2. How many non-repeating three-digit numbers can be written using odd digits? a) 999 b) 225 c) 60 d) 25
- Indicated 29611
In the hotel, the room numbers are indicated by a 3-digit number and one of the letters A B. The first digit indicates the floor number. How many rooms can they have in the hotel?
- Big numbers
How many natural numbers less than 10 to the sixth can be written in numbers: a) 9.8.7 b) 9.8.0
- You have
You have four reindeer and want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line. How many different ways can you arrange your reindeer?
- Remembers: 28341
My mother forgot the PIN code of her ATM card, which consisted of 4 different numbers. Help her put it together if she remembers: And - all the numbers were even B - zero in the pin code was not C - the first number was a multiple of the second number, wh
- Coffe cups
We have 4 cups with four different patterns. How many possible combinations can we create from 4 cups?
- Wagons
We have six wagons: two white, two blue, and two red. We assemble trains from them; wagons of the same color are exactly the same, so if we change only two white wagons on a train, it's still the same train because I don't know any difference. How many di
- Selected 26381
Seven people need to be selected from the sports club, where 11 men and nine women. How many ways can we do this if seven women are on the team?
- Positions 26151
How many positions are there to store three books on the shelf?
- Calculated 19363
Peter calculated the number of placement options with four teams, A, B, C, and D, in the first three places. He helped himself with a tree diagram. Complete the solution.
- Three-digit 16763
Ferko received a briefcase with an adjustable three-digit code for his birthday. How many options do you have to set the code if you like a number with two sevens?
- Four-digit 16463
How many can we create four-digit numbers that digits can repeat from digits 0,1,2,3,…, 9?
- Possible combinations - word
How many ways can the letters F, A, I, and R be arranged?
- Pairs of socks
Ferdinand has twelve pairs of socks, and one sock is leaky. What is the probability of putting on a leaky sock?
- Five-digit 13361
Write the 12 largest five-digit numbers in the twelve-position system and the 12 smallest six-digit numbers.
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