Natural numbers + permutations - practice problems - page 3 of 5
Number of problems found: 89
- Three-digit 4698
The five cards with the numbers 1, 2, 3, 4, and 5 put together all three-digit odd numbers. How many are there? - 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. - Competition 67314
The coach must choose two students from Sam, Jura, Emma, Dan, and Nika to go to the competition. He knows them well and knows that Samo will only go with Jura or Ema, and Dano will not go with Ema. How many pairs does the trainer have to choose from? - Lunch
Seven classmates go every day for lunch. If they always come to the front in a different order, will it be enough school year to take of all the possibilities?
- Four-digit 7953
How many four-digit codes on the wheel lock can we create from the digit 0,1,2,3,4,5,6,7,8,9 if it is true that we cannot repeat the numbers? - Tournament's 32031
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? - Permutations 46323
I want to find the number of permutations of the set M6 if not one element is in that position as in the original input (1 2 3 4 5 6). So I have to exclude numbers with 1 in 1st place, 2 in 2nd place, and 3 in 3rd place. - Double-digit 33471
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. - A department
There are seven women and five men in a department. a) how many ways can a committee of 3 people be selected? b) how many ways can a committee of 2 men and one woman be selected? c) how many ways can a committee of at least two women be selected (3 people
- Digits
How many natural numbers greater than 4000 are formed from the numbers 0,1,3,7,9 with the figures not repeated, B) How many will the number of natural numbers be less than 4000, and can the numbers be repeated? - Sitting 6612
Seven boys are sitting next to each other in the cinema. How many ways can they sit on the seats if the boys want to sit next to each other? - Seven segments display
Electronic devices sometimes use the type of digits below, where each digit uses some short stripes. For example, seven uses three small stripes. What is the largest three-digit number that you can make if you use twenty stripes? - Natural 5474
How many natural numbers can we create less than 301 from the number 0,1,2,3,6,7? - Cups on the shelf
We should place two green, three red, and two yellow cups side by side on the shelf. a) How many different ways of setting up can arise? b) How many different ways of arranging can arise if cups of the same color stand side by side?
- Graduation party
There were 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected. - Three-digit 38371
How many odd three-digit numbers can you make of the five cards with the numbers 1, 2, 3, 5, and 6? - 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 - Three-digit numbers
Use the number 4,5,8,9 to write all three-digit numbers without repetition. How many such numbers are there? - Three numbers
We have three different non-zero digits. We will create all three digits numbers from them to use all three figures in each. We add all the made numbers and get the sum of 1554. What were the numbers?
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