Combinatorics - math word problems - page 35 of 57
Number of problems found: 1135
- Wardrobe code
Lucia has a lock on her wardrobe that opens with a 4-digit code (such as 0000, 0089, or 9123). Lucia forgot her code. But she knows that the sum of all four digits of her code is 4. How many such codes are there? - In the shipment
There are 40 products in a shipment, of which 4 are defective. In how many ways can 5 products be selected so that exactly 3 of them are non-defective? - Probability - coloured balls
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. - City path count
There are 5 roads from city A to city B, 3 from city B to city C, and 4 from city C to city D. Determine the number of paths that go from A to D via B and C. - Compartment ball options
We have eight compartments where we put three indistinguishable balls and two distinguishable ones. How many options do we have? - Three-digit number creation
From the number 5,4,0,7,8, create three-digit numbers, so they do not repeat and solve the problem by calculation. - Card selection ways
How many ways do we know to select three cards from a deck of seven cards so that there are two red and one green between them? - Marian mark ways
Marian obtained two different marks in one day. How many ways these marks can he get? - Coffe cups
We have 4 cups, each with a different pattern. How many different arrangements of the 4 cups are possible? - Arranging Students in Rooms
Sixteen students on the brigade will be accommodated in one 8-bed and two 4-bed rooms. How many ways can they do that? - Three-digit
How many three-digit natural numbers do not have the number 7? - Natural numbers
How many natural numbers can we create less than 301 from the number 0,1,2,3,6,7? - Sum 10
What is the probability that two dice thrown twice in a row will result in the sum of 10? - Cancer in woman population
In a particular population of women, 40% have had breast cancer, 20% are smokers, and 13% are both smokers and have had breast cancer. If a woman is selected at random, what is the probability that she has had breast cancer, smokes, or both? - Smoker male
For a person selected randomly from a certain population, events A and B are defined as follows. A = event the person is male B = event the person is a smoker. For this particular population, it is found that P(A ) = 0.53, P(B) = 0.15, and P(A n B ) = 0.1 - Inverted nine
In the hotel Inverted Nine, each hotel room number is divisible by 6. How many rooms can we count with the three-digit number registered by digits 1, 8, 7, 4,9? - Five-digit different digits
Determine the number of all five-digit natural numbers in which every two digits are different in decimal notation. - Ring bead combinations
The ring consists of 4 beads. There are 5 different colors of beads in the package. How many possibilities are there to create one ring, and can the colors repeat? - Dice five probability
What is the probability that two fives are rolled when two dice are rolled if we know that the sum of both numbers is divisible by five? - 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?
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