Factorial - practice problems - page 3 of 7
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 135
- 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 - Factorial cancellation
Cancel the expression with factorials: 12! x 2 x 7! / 6 x 10! 8! - Megapizza
Mega pizza will be divided among 100 people. First gets 1%, 2nd 2% of the remainder, 3rd 3% of the remainder, etc. Last 100th 100% of the remainder. Which person got the biggest portion? - Different 42371
How many ways can you store seven different books side-by-side when a math book has to be on the edge of the shelf? - 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?
- Starting 38113
How many ways can we put 19 students in a row when starting a gym? - Guaranteed 37611
Determine how many different ways a Lotto ticket can be written if we guess six numbers out of 49. At what Jackpot would it already pay to bet so many tickets to be guaranteed to win the 1st prize? The price of one type is €1. - Arranged 37131
Jane wants to organize 4 English and 3 Slovak books on the shelf to arrange first English and then Slovak books. How many ways can it do that? - 6-digit 35541 How many 6-digit numbers can be created from the number 1,2,3,4,5,6 if we must not repeat the numbers?
- BRATISLAVA 35531
How many words can we make from all letters of the word BRATISLAVA? - Round table
Eight people are sitting at a round table. In how many ways can they be seated around the table? - Tournament 35441
Sixteen teams will compete in the hockey tournament. How many ways can a gold, silver, and bronze medal be awarded? - Remainder 34441
Find the remainder after division when we divide the sum of 1! +2! +3! +. ... . +300! number 13.
- 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 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?
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