Permutations + multiplication principle - practice problems - page 4 of 9
Number of problems found: 171
- 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. - Travelogues 45401
Martina borrowed three novels and two travelogues from the library. He will read the travelogues first. How many ways can he read the books? - 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? - 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? - Possibilities 38143
How many possibilities have residents of MISSISSIPPI state to choose their country's name if they have to use all the letters? - Different 38123
How many ways can we put seven different books on the shelf? - Qualifying 37483
There are five good teams in the qualifying group for the World Cup. How many different orders can occur?
- Five-digit 37121
How many different five-digit numbers can we create from digits 4 and 5? - Seedbeds
The father wants to plant two seedbeds of carrot and two seedbeds of onion. Use a tree chart to find how many different options for placing the seedbeds he has. - 3-digit 35271
How many 3-digit numbers can be created from the digits 1, 2, 3, 4, 5, and 6 if we must not repeat the digits? - Number 4
Kamila wrote all-natural numbers from 1 to 400 inclusive. How many times did she write the number 4? - 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.
- Competition 33041
The long-term volleyball tournament is played on a one-on-one basis. So far, 11 teams have entered the competition. How many matches will be lost when two teams unsubscribe? - 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. - School committee
Seven students were elected to the school committee. How many ways can become the President, Vice-President, Secretary, and Treasurer be selected? - Participants 31351
How many ways can the first, second, and third prizes be awarded to the 15 participants in the math competition? - Non-repeating 30101
1. How many different options are there for exchanging a ten-euro bill with one-euro, two-euro, and five-euro bills? a) 5 b) 8 c) 14 d) 10 2. How many non-repeating three-digit numbers can be written using odd digits? a) 999 b) 225 c) 60 d) 25
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