Permutations + factorial - practice problems - page 2 of 4
Number of problems found: 68
- The flag
The flag should consist of 3 different colored stripes - available colors: white, red, blue, green, and yellow. Specify: A) number of all flags B) number of flags with a blue stripe C) number of flags with a blue stripe in the middle D) the number of flag - Indistinguishable 48981
How many ways can we build eight indistinguishable towers on an 8 × 8 board, so they don't endanger each other? - How many 13
How many ways can X³ y⁴ z³ be written without an exponent? - 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
- 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 - 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? - Different 38123
How many ways can we put seven different books on the shelf? - BRATISLAVA 35531
How many words can we make from all letters of the word BRATISLAVA? - 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.
- You have
You have four reindeer, and you 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? - 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 - Positions 26151
How many positions are there to store three books on the shelf? - Possible combinations - word
How many ways can the letters F, A, I, and R be arranged?
- 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. - Classroom
Of the 26 pupils in the classroom, 12 boys and 14 girls, four representatives are picked to the odds of being: a) all the girls b) three girls and one boy c) there will be at least two boys - 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? - Boys and girls
There are eight boys and nine girls in the class. There were six children on the trip from this class. What is the probability that: a) only boys went on the field trip b) just 2 boys went on the field trip - 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?
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