Combinatorics + reason - practice problems - page 9 of 19
Number of problems found: 378
- Probability 83267
The cube has 6 blue, 8 red, and 10 green balls. The player randomly draws 3 balls. Determine the probability that he draws balls of the same color. - Probability 83133
The mobile PIN has 4 characters. What is the probability that the PIN contains the number 7 and ends with the number 5? - Probability 82744
Ten books are placed randomly on one shelf. Find the probability that certain three books are placed next to each other. - Three-digit 9531
How many three-digit numbers do not change if we replace the digit in the hundreds with the digit in the units?
- Possibilities 8237
How many different possibilities of settling friends A B C D E F on six seats if A wants to sit next to C - How many 23
How many times should a dice be rolled to obtain a most likely number of 2 points on it to be equal to 32? - Balls in row
Calculate the number of ways of placing four black balls, four turquoise balls, and five gold balls in a row. - Round table
Eight people are sitting at a round table. In how many ways can they be seated around the table? - Two aces
From a 32-card box, we randomly pick 1 card and then two more cards. What is the probability that the last two drawn cards are aces?
- Password
The voltage station is day changing the master password, which consists of three letters. The code generation process does not change and is based on the following procedure: The following letters (A) to (I) correspond to different numbers from 1 to 9 if - Five-digit 82257
Determine the number of all five-digit natural numbers in which every two digits are different in decimal notation. - Remembers: 28341
My mother forgot the PIN code of her ATM card, which consisted of 4 different numbers. Help her put it together if she remembers: And - all the numbers were even B - zero in the pin code was not C - the first number was a multiple of the second number, wh - Number 4
Kamila wrote all-natural numbers from 1 to 400 inclusive. How many times did she write the number 4? - One three
We throw two dice. What is the probability that number three falls maximally once?
- Tricolors
From the colors - red, blue, green, black, and white, create all possible tricolors. - Modifications 7479
The Numerometer has invented as the number machine that changes numbers until it makes them single-digit numbers. He still makes the change according to the same rule. For example: from the number 87312, after six modifications, he gradually made the numb - Probability 71164
We roll the dice twice. What is the probability that if an even number falls for the first time, the even number will fall a second time? - Triples 67394
How many triples of sounds can be created from sounds f, o, u, r? You solve using a tree diagram. - Five-digit 66894
Create all five-digit numbers in ascending order from three, four, and two zeros.
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