Permutations with repetition - practice problems - last page
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 36
- How many 13
How many ways can X³ y⁴ z³ be written without an exponent?
- Fruits
We want to plant five fruit trees in the garden, of which three are apple trees and two pears. How many different ways can we organize them?
- Permutations with repetitions
How many times can the input of 1.2.2.3.3.3.4 be permutated into four digits, three digits, and two digits without repetition? Ex: 4 digits = 1223, 2213, 3122, 2313, 4321. . etc 3 digits = 122.212.213.432. . etc 2 digits = 12, 21, 31, 23 I have tried the
- Syrups
In the shop, they sell three types of syrups - apple, raspberry, and orange. How many ways can you buy four bottles of syrup?
- Seedbeds
The father wants to plant two seedbeds of carrots and two seedbeds of onion. Use a tree chart to find how many different options he has for placing the seedbeds.
- 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
- Probability 8419
What is the probability that when dealing cards after 4, in the game Quartet (eight of fours), we will get the whole quartet?
- STRESSED word
Each letter in STRESSED is printed on identical cards, one letter per card, and assembled in random order. Calculate the probability that the cards spell DESSERTS when assembled.
- Three workplaces
How many ways can we divide nine workers into three workplaces if they need four workers in the first workplace, 3 in the second workplace, and 2 in the third?
- Admittedly 7431
How many ways can three children divide five small and six large exercise books? Admittedly, some get nothing.
- How many 2
How many three-lettered words can be formed from letters A B C D E G H if repeats are: a) not allowed b) allowed?
- Three-digit 6690
How many three-digit numbers do we make from the numbers 4,5,6,7?
- Identical 6517
The arranger is to display three identical beige, two identical green, and one black coat in the shop window. How many ways can it do that?
- Word MATEMATIKA
How many words can be created from the phrase MATEMATIKA by changing the letters' order, regardless of whether the words are meaningful?
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