Combinatorics - math word problems - page 44 of 57
Number of problems found: 1135
- Fraction equation
Calculate x: (x-1) over (x-2) + (x-2) over (x-4) = 4 - Variation elements
How many elements do we have if the variation of the third class without repetitions is ten times more than the variation of the second class? - Mice of Each Color
The hat has 14 grays, eight white, and six mice. What is the smallest number of mice we have to pull out of our hats to ensure we have at least one mouse of each color? - Five-digit number count
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. - 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? - Big numbers
How many natural numbers less than 10 to the sixth can be written in numbers: a) 9.8.7 b) 9.8.0 - Product selection ways
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? - Chocolates
How many ways can we distribute eight different chocolates to four children? - Permutations Equation Elements
Seven times the permutations of n elements equal one-eighth of the permutations of n + 2 elements. What is the number of elements? - Four-digit numbers
The numbers 1,2,3,4,5 are given. Role: a) how many 4-digit numbers can we create if the digits cannot be repeated? b) how many generated numbers will not contain the digit 1? c) How many of the generated numbers will be divisible by 5? d) How many of the - Round table
Find the number of ways in which eight people can be seated at a round table such that 2 of them always sit together. - Bookshelf and books
How many ways can we place seven books on a bookshelf? - Three digits number
How many are three-digit integers such that they have no digit repeats? - Ace
We pulled out one card from a complete set of playing cards (32 cards). What is the probability of pulling the ace? - Guests
How many ways can 8 guests sit down on 10 seats standing in a row? - School trip
The class has 19 students. How can students be accommodated in the hostel, where available 3× 2-bed, 3× 3-bed and 1× 4-bed rooms? (Each room has its unique number) - Seating
How many ways can 7 people sit on 5 numbered chairs (e.g., seat reservation on the train)? - A machine
A machine produces steel rods of normally distributed length, the mean length and the standard deviation being 50.0 cm and 0.5 cm, respectively. The rods do not conform to safety standards if they are either shorter than 49.1 cm or longer than 50.7 cm in - Dice conditional probability
I roll a 7-wall dice. What is the conditional probability that three fell if an odd number fell? - Stoaches
Stoaches are fictional creatures distantly related to bigfoot and yeti. Stoach weights are normally distributed, with a mean of 904 g and a standard deviation of 104 g. State the probability that the sample mean of a random sample of 36 stoach weights exc
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