Combinatorics - math problems
Number of problems found: 400
- How many 13
How many ways can X³ y⁴ z³ be written without an exponent?
- A box
A box contains 6 red balls, 5 blue, and 4 white balls. Find the probability of drawing a) red ball b) non-white ball.
- Committee 2
How many committee consisting of 3 women and 2 men can be formed from a group of 6 woman and 5 men?
- ID tag
How many 3 digit ID tag can be made if: a) a digit cannot be used more than once b) the 1st digit must be 5 and repetition of the others are not permitted.
- There 8
There are 7 women and 5 men in a department. a) how many ways can a committee of 3 people be selected? b) how many ways can a committee of 2 men and 1 woman be selected? c) how many ways can a committee of at least 2 woman be selected (3 people total)?
- Three wagons
I have 6 different people (A, B, C, D, E, F), which I have to place into 3 wagons, if it depends on who will board. How many options are there?
In how many ways could 9 participants of the school round of five-in-a-row win the first 3 places?
- The dice
Find the probability that a number divisible by two or three will fall when the dice are rolled.
- A bag
A bag contains 9 blue marbles and 1 green marble. What is the probability of drawing a blue marble followed by a green marble, without replacing the first marble before drawing the second marble.
- Double six-six
What is the probability, that a player in the games of ludo will throw a double 6 twice .
- We roll
We roll two dice A. - what is the probability that the sum of the falling numbers is at most 4 B. - is at least 10 C. - is divisible by 5?
Twenty swallows sit on a 10 m long telephone cable. Assume that swallows are completely randomly distributed along the line. (a) What is the probability that more than three swallows sit on a randomly selected section of cable 1 m long? (b) What is the pr
From a box of spruce seeds with the germination of 80%, we randomly select 10 seeds and plant them. Find the median of the random variable: the number of germinating seeds.
- Created trio
What is the probability that in the created trio, which consists of 19 boys and 12 girls, they will be: a) the boys themselves b) the girls themselves c) 2 boys and 1 girl?
- Crimson Lynx
Captain Emily has a ship, the H. M. S Crimson Lynx. The ship is five furlongs from the dread pirate Umaima and her merciless band of thieves. If her ship hasn't already been hit, Captain Emily has probability 3/5 of hitting the pirate ship. If her ship ha
- Two dice
We roll two dice. What is the probability that the sum of the falling numbers is greater than 3?
- Permutations with repetitions
How many times the input of 184.108.40.206.3.3.4 can be permutated into 4 digits, 3 digits and 2 digits without repetition? Ex: 4 digits = 1223, 2213, 3122, 2313, 4321. . etc 3 digits = 220.127.116.112. . etc 2 digits = 12, 21, 31, 23 I have tried permutation fo
- Exchange € 100
Find out how many ways you can exchange € 100 if you have an unlimited number of 50, 20, 10 and 5 euro banknotes. Use a method other than listing all options systematically.
- The box
The box contains three light bulbs with a wattage of 40 W and two pieces of light bulbs with a wattage of 60 W. What is the probability of the event that two randomly selected light bulbs will both be 40 W?
The student masters the subject matter for the exam in Czech to 98%, from Math to 86% and from Economics to 71%. What is the probability that he will fail from Math and from others will succeed?
Would you like to compute count of combinations?