Combinatorics - math word problems - page 27 of 54
Number of problems found: 1079
- Sequentially 63274
In the pocket, there are six tickets marked with numbers 1 to 6. How many ways can we sequentially, taking into account the order, select 3 of them if the chosen tickets do not return to the pocket?
- Participants 8335
How many ways can you be rewarded in the 1st, 2nd, or 3rd place? What is the prize for 15 participants in the competition?
- Dining 5004
The dining room offers three types of soups and four types of main courses. How many ways can we choose soup and the main course?
- Table and chairs
Four people should sit at a table in front of a row of 7 chairs. What is the probability that there will be no empty chairs between them if people randomly choose their place?
- Three-digit numbers
Use the number 4,5,8,9 to write all three-digit numbers without repetition. How many such numbers are there?
- To improve
To improve her handwriting, Paula practices writing the numbers 1 to 200 in words. How often will she have written the word "one" in all?
- Bridge cards
How many bridge hands are possible containing 4 spades, 6 diamonds, 1 club, and 2 hearts?
- Successively 63644
In an opaque box, identical cubes of different colors: 15 are red, 8 are blue, and 7 are green. We successively drew 10 red, 4 blue, and 3 green dice. What is the probability that we draw a red die from the remaining dice in the next roll?
- Double-digit 17103
If we can repeat the digits in a number, how many double-digit numbers can we create from the digits 1, 2, 3, 4, 5, and 6?
- Probability 8280
We have ten white, ten red, and ten blue balls in our pockets. We selected five white, two red, and three blue balls. What is the probability that we will pick a white ball in the next move?
- Probability 5576
Jana rolls two dice at the same time. What is the probability that she will score a total of four points?
- Natural 5474
How many natural numbers can we create less than 301 from the number 0,1,2,3,6,7?
- Air draft
The numbers 1,2,3,4,5 are written on five tickets on the table. Air draft randomly shuffled the tickets and composed a 5-digit number from them. What is the probability that he passed: and the largest possible number b, the smallest possible number c, a n
- MATES
In MATES (Small Television tipping), from 35 random numbers, five winning numbers are drawn. How many possible combinations are there?
- Indistinguishable 81481
How many ways can a tower of five yellow and four blue cubes be built so that each yellow cube is adjacent to at least one other yellow cube? Yellow dice are indistinguishable, and so are blue dice.
- Strawberry 71664
The opaque package contains five lemons, six apples, and three strawberry candies. At least how many sweets do we have to choose so that there is at least one strawberry among them?
- Wallpapers 69424
Lucia's mobile phone offers a choice of 10 ringtones, seven tones when receiving an SMS, and 15 wallpapers in the background of the display. How many ways can Lucia set up her mobile?
- Percentage 67364
Create all four-digit numbers in which 0, 2, 5, and 9 are not repeated. A) How many such numbers are there? You solve using a tree diagram. B) What percentage of them are even?
- Students 62184
There are 16 students in the class. If the teacher wants to choose two students who will be weekly, how many options does she have?
- Friends 7624
Five friends want to sit on one bench. How many ways can this be done if one of them always sits in the middle of the bench?
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