Permutations + multiplication principle - practice problems - page 4 of 9
Number of problems found: 168
- Five-digit 63424
How many five-digit numbers can we make from digits 2,3,4,6,7,9 if they can repeat with the digits? - According 63394
Three boys and four girls. How many ways can they be placed side by side according to gender? - Spouses 61294
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? - Necklaces 8006
Elena has four beads: yellow, two pink, and green. How many different colored necklaces can he create? - Subsets
How many are all subsets of set C = (97, 67, 66, 18, 59, 64)? - 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? - 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. - How many
How many double-digit numbers greater than 30 can we create from digits 0, 1, 2, 3, 4, and 5? We cannot repeat numbers in a two-digit number. - Permutations
How many 4-digit numbers can be composed of numbers 1,2,3,4,5,6,7 if: and the digits must not be repeated in the number b, the number should be divisible by five, and the numbers must not be repeated c, digits can be repeated - Competition
Fifteen boys and ten girls are in the class. In the school competition of them is selected a 6-member team composed of 4 boys and two girls. How many ways can we choose students? - Three-digit numbers
How many three-digit numbers are from the numbers 0 2 4 6 8 (with/without repetition)? - Kids
How many different ways can sit 8 boys and 3 girls in line if girls want to sit on the edge? - Identical 71234
How many ways can you divide two identical apples and: a) 3, b) 4, c) 5 identical pears between Janka and Mařenka? - 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? - Divisible 5454
How many natural numbers are divisible by five less than 8000, composed of the digits 0,1,2,5,7,9? - Big numbers
How many natural numbers less than 10 to the sixth can be written in numbers: a) 9.8.7 b) 9.8.0 - Three-digit numbers
Use the number 4,5,8,9 to write all three-digit numbers without repetition. How many such numbers are there? - Toys
3 children pulled 9 different toys from a box. How many ways can toys be divided, so each child has at least one toy? - Different 82447
How many 4 colored flags can be made from 5 colors so that each flag consists of three different colors? - Participated 81728
The school volleyball tournament was played on a one-on-one basis. One match lasted 15 minutes, and 3 hours and 45 minutes were played. Calculate how many teams participated.
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