Combinatorics - math word problems - page 41 of 57
Number of problems found: 1135
- Middle finger
Jana counts on one hand, going finger by finger. She starts counting from her thumb through her index finger, middle finger, and ring finger up to her little finger, reaching the number 5. Then she immediately goes back to her ring finger (6), middle fing - Book distribution possibilities
There are 11 pupils in the group, among them just one Martin. How many possibilities are there for distributing 4 different books to these pupils if each is to receive at most one and Martin just one of these books". - Chess pieces
The box contains five black chess pieces. How many white pieces should we add to it so that the probability of pulling out a black piece is 1:4? - Hazard game
In the Sportka hazard game, six numbers out of 49 are drawn. What is the probability that we will win: a) second prize (we guess five numbers correctly) b) the third prize (we guess four numbers correctly)? - Red cubes
There are 15 white and several red cubes in the box. The probability of accidentally pulling out a white cube is 20%. How many red cubes are in the box? - Dices throws
What is the probability that the two throws of the dice: a) Six falls even once b) Six will fall at least once - Non equivalent ints
Two n-digit integers are said to be equivalent if one is a permutation of the other. Find the number of 5-digit integers such no two are equivalent. If the digit 5,7,9 can appear at most one, how many non-equivalent five-digit integers are there? - Meeting handshake count
After the meeting, all participants shook hands with each other - a total of 105 times. How many people were there at the meeting? - Combinations - elements
If we increase the number of elements by 1, the number of combinations of the third class without repetitions increases by 10. How many elements do we have? - Set variation increase
If we add one element to set A, the number of third-class variations increases two times. How many elements did the set initially contain? - Permutations without repetition
From how many elements can we create 720 permutations without repetition? - Skater equipment options
Mike is buying skater equipment. He chooses one of 2 helmets, one of 3 pairs of gloves, one of 4 knee pads, and one of 2 elbow pads. How many different combinations of equipment can he choose? - Dice unit probability
We roll two dice. One is 6-walled, and the other is 8-walled. What is the probability that at least one unit will fall? - Five number code
I forgot a five-digit code on the bag. I remember that it was a symmetric number, and the sum of its digits was 22. Write down all the numbers that can be coded. - Three students
Three students independently try to solve the problem. The first student will solve a similar problem with a probability of 0.6, the second student will solve at a probability of 0.55, and the third will solve at a probability of 0.04. The problem is reso - Permutations How many 4-digit numbers can be composed of numbers 1,2,3,4,5,6,7 if: a, 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
- Party
At a party, everyone clinked glasses with everyone else. They clinked 45 times in total. How many people were at the party? - Breakfast combination calculation
Anna prepares for breakfast - buckwheat or millet porridge with one of three fruits flavored with honey or cocoa. How many different types of breakfast can you prepare from the listed ingredients? - Siblings probability
The table contains information on the number of pupils according to the number of siblings: Number of siblings 0 1 2 3 and more Number of pupils 50 50 72 28 What is the probability that a randomly selected student has exactly two siblings? - In the library
We have 8 different books in a library. In how many ways can they be arranged? In how many ways can they be arranged if 3 specific volumes must appear in a fixed given order? In how many ways can they be arranged if three specific volumes must appear cons
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