Permutations - practice problems - page 9 of 18
Number of problems found: 342
- Six-digit number creation
How many 6-digit numbers can be created from the number 1,2,3,4,5,6 if we must not repeat the numbers? - Word letter creation
How many words can we make from all letters of the word BRATISLAVA? - Book reading order
Dana received four new books. How many different orders can she read them? - Sweater arrangement ways
The arranger should line up two identical white sweaters, two identical green sweaters, and one blue sweater in the shop window. How many possible ways can the interpretation be adjusted? - Three-digit number creation
How many 3-digit numbers can be created from the digits 1, 2, 3, 4, 5, and 6 if we must not repeat the digits? - Five-digit number creation How many five-digit numbers do we create from digits 1, 2, and 3?
- Symbolo cards
Peter got a card game for his birthday. On each card there are three symbols. For the cards and symbols the following rules apply: • each symbol is on three cards, • each two cards have exactly one common symbol, • for each pair of symbols, a card can be - Light bulbs
You are in a room with 3 switches. In the next room, there are 3 switched-off classic light bulbs in table lamps; each switch belongs to one light bulb. You cannot see from one room to the other. How do you find out which switch belongs to which light bul - Number 4 Camilla wrote all-natural numbers from 1 to 400 inclusive. How many times did she write the number 4?
- Double-digit number creation How many double-digit numbers greater than 60 can we make from digits 0,5,6,7,8,9? The numerals must not be repeated.
- Soccer teams
Have to organize soccer teams. There are three age groups. How many different ways can you organize ten teams for each age group? Is this a permutation or combination? - Tournament match calculation
The long-term volleyball tournament is played one-on-one. So far, 11 teams have entered the competition. How many matches will be lost when two teams unsubscribe? - Tournament placement ways
Twelve men and four women attended the chess tournament. How many different women's placements can be in the tournament's final table if no two participants have scored the same number of points? - 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? - Prize award ways
How many ways can the first, second, and third prizes be awarded to the 15 participants in the math competition? - Ball selection probability
There are 16 balls in a box: 7 white and 9 blue. Two balls are drawn at random. What is the probability that both selected balls are white? - Bulb switch puzzle
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 - Number combination 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
- Hotel room numbering
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?
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