Combinatorics - math word problems - page 38 of 51
Combinatorics is a part of mathematics that investigates the questions of existence, creation and enumeration (determining the number) of configurations.It deals with two basic tasks:
How many ways can we select certain objects
How many ways can we arrange certain objects
Number of problems found: 1002
- Different 82982
How many different ways can Milka, Peter, Joseph, and Renata sit next to each other in the cinema if Milka always sits in seat number 1 and Peter always sits in seat number 4? List all options. - Equipment 69464
Miša is buying skater equipment. He chooses one of 2 helmets, one of three gloves, one of four knee pads, and one of two elbow pads. How many options does it have for buying equipment? - Classmates 18173
Classmates Anka, Bea, Villa, and Danka can sit next to each other on the bus. What and how many ways can they sit down? - Individual 4688
The locomotive pulls six wagons. Each of the wagons is either red or blue. The order of colors of individual wagons is the same from the front and back. How many such trains can you draw?
- Probability 3349
We have natural numbers 3, 4, 6, 10, and 12. Calculate the probability that the sum of three randomly selected three different numbers is less than 20. - Seven segments display
Electronic devices sometimes use the type of digits below, where each digit uses some short stripes. For example, seven uses three small stripes. What is the largest three-digit number that you can make if you use twenty stripes? - Prime number
Jan wrote any number from 1 to 20. What is the probability that he wrote the prime number? - Elements
If the number of elements is decreased by two, the number of permutations is decreased 30 times. How many elements are? - Conditional 73664
I roll a 7-wall dice. What is the conditional probability that three fell if an odd number fell?
- Three towns and roads
If there are three roads from town A to town B And four roads from town B to town C, how many ways can one go from town A to town C and back to town A, through town B, without passing through the same road twice? - Prize
How many ways can 9 participants be rewarded with the first, second, and third prizes in a sports competition? - Completely 79274
Kitchen cabinets are sold in widths of 80 cm, 60 cm, and 40 cm. Which assembly can we choose if we have a wall 3.5 m long and we want to completely fill it with an assembly that also includes a dishwasher, the width of which is 60 cm, and the stove is 50 - Probability 2386
We throw a die seven times. What is the probability that: a) the first, second, and third times fall six and not in all the others, b) 5 does not fall four times in a row, and yes, in the last 3 hours? - Lathe
95% of the components manufactured on the lathe comply with the standard, of which 80% of the components are first-class. How likely can we expect a manufactured part to be first class?
- Dinning room
How many different combinations can we choose if there are three soups, five kinds of the main dish, and two desserts in the dining room? - The camp
At the end of the camp, a 8 friends exchanged addresses. Any friend gave their remaining 7 friends their card. How many addresses did they exchange? - Dice
How many times must you throw the dice, and the probability of throwing at least one päťky was greater than 50%? - Determine 80084
Determine the number of all natural numbers greater than 2000 in which the digits 1, 2, 4, 6, and 8 occur at most once each. - Defective 22153
There are 11 products in the box, of which just four are defective. How many ways can we choose five products so that at least four are not faulty?
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