Permutations - practice problems - page 6 of 18
Number of problems found: 342
- Find two digits
Find the possible values of A and B if the six-digit number 2 A16B6 is divisible by 4 and 9. Please write the result as a composed number. - Green and red cubes
There are five green cubes (numbered 1 - 5) and four red cubes (numbered 1 - 4). How many ways can the cubes fit in a box that only needs two green and three red cubes? - Word OPTICAL
Find the number of possible different arrangements of the letters of the word OPTICAL such that the vowels would always be together. - Three digit from four digits
How many three-digit numbers can you make using the digits 4,6,7 and 9? - Four-digit number digits Please find out how many different four-digit numbers we can create from the digits 3 and 8 so that the two digits three and two digits eight are used in each four-digit number created.
- Object collection order
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? - Shampoo display ways
How many ways can an arranger display five different shampoos horizontally next to each other? - Triangle from sticks
Bob the boulder has many sticks of lengths 3.5 and 7. He wants to form triangles, each of whose edges consists of exactly one stick. How many non-congruent triangles can be formed with the sticks? - Book Store
The Mabini Book Store (MBS) is reducing the prices of Mathematics books for promotion. The store has 6 Algebra books, 6 Geometry books, and 5 Statistics books to be arranged on a shelf. Books of the same kind are to be placed beside each other. How many w - Five-digit number repetition How many five-digit numbers can we make from digits 2,3,4,6,7,9 if they can repeat with the digits?
- Dice snake colors Hansel has 4 identical yellow blocks and 3 identical blue blocks. How many different coloured sequences (snakes) can he make with them?
- Comma dot characters
How many characters can we create from two commas and four dots? - Boy girl placement
Three boys and four girls. How many ways can they be placed side by side according to gender? - Element arrangement ways
Determine the number of arrangements of these six elements: a, a, a, b, b, c. - Ticket selection ways
A pocket contains six tickets numbered 1 to 6. In how many ways can 3 tickets be drawn one by one, in order, without replacing the drawn tickets? - Dance couple arrangement
Six boys and six girls (among them Emil, Felix, Gertrude, and Hannah) want to dance. The number of ways they can make six (mixed) couples if Emil does not want to dance with Gertrude and Hannah wants to dance with Felix is? - Wall paper
Suppose you want to paper your walls. Wallpapers are available in 4 different backgrounds colors with seven different designs of 5 different colors. In how many ways can you select your wallpaper? - Weekly student selection
There are 16 students in the class. If the teacher wants to choose two students who will be weekly, how many options does she have? - We are planting
We are planting 2 types of roses (white and red). Experience shows that the probability of a red rose taking root is 0.7. A total of 5 seedlings are planted. What is the probability that: a) the first 2 will be red and the next 3 white? b) all will be red - Couple train boarding
Ten married couples board the train, which has five cars. How many ways can they take if no two spouses want to be in the exact vehicle?
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