Combinatorics - math word problems - page 39 of 57
Number of problems found: 1135
- Two-element combinations
Write all two-element combinations from elements a, b, c, and d. - Four digit codes
Given the digits 0-7. If repetition is not allowed, how many four-digit codes greater than 2000 and divisible by 4 are possible? - Permutation element count
From how many elements can we make 5040 permutations without repetition? - Five-digit digit probability
What is the probability that each digit is different in a five-digit number? - Three colors
Find the probability that three balls of the same color will be drawn from fate with ten white, ten red, and ten blue balls. - Passengers Exiting Stations Ways
Twenty-two passengers boarded in Žilina. Everyone gradually disembarked on the Teplička, Strečno, Vrútky, and Martin lines (the wagon was already empty in Martin). How many ways could they come out? - Candy
How many ways can 10 identical candies be divided among 5 children? - Preventive examination
2.8% of the population suffers from disease XY. A preventive examination identifies 5.1% of healthy individuals as sick, and 91.4% of those examined who are actually sick are also identified as sick. What percentage of examined individuals is identified a - Ways
There are five roads from village A to village B, two roads from village B to village C, and only one road directly from village A to village C. In how many different ways can you travel: A) from village A to village C via village B? B) from village A to - Twenty-two Digit Numbers
From how many digits can we create twenty-two-digit numbers in which the digits do not repeat? - Numbers 6D Find out how many natural six-digit numbers exist whose digit sum is four.
- Four-digit eight count How many four-digit numbers are there in which there are at least three eights
- Word letter creation
How many different four-letter words can we create from the letters of the word JAMA? - How many 13
How many ways can X³ y⁴ z³ be written without an exponent? - Bulbs
The probability that the bulb can operate 4000 hours is 0.3. What is the probability that exactly one of the eight bulbs can operate 4000 hours? - Holidays with grandmam
We packed three white, red, and orange T-shirts and five pairs of pants—blue, green, black, pink, and yellow. If we put on a different combination of clothes every day, how many days can we spend with the old mother? - Lunch
Seven classmates go every day for lunch. If they always come to the front in a different order, will it be enough school year to take off all the possibilities? - Card number probability On ten identical cards, there are numbers from zero to nine. Determine the probability that a two-digit number randomly drawn from the given cards is: a) even b) divisible by six c) divisible by twenty-one
- Phone number
A phone number with nine digits, none of which are repeated. The middle number in the second three-digit number is 3 times greater than the 6th and twice greater than the 7th. The three-digit number in the middle 3 numbers is 2 times greater than the last - Three digits number
From the numbers 1, 2, 3, 4, and 5, create three-digit numbers whose digits do not repeat, and the number is divisible by 2. How many numbers are there?
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