Combinatorics - math word problems - page 35 of 52
Number of problems found: 1031
- Permutations 82516
From how many elements can we make 5040 permutations without repetition?
- Arrangements 63384
Determine the number of arrangements of these six elements: a, a, a, b, b, c.
- 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?
- Social beneficiaries
In a certain community, 52% are SAP beneficiaries, 15% are members of 4Ps, and 8% are both SAP and 4 Ps. If a citizen from the community is an SAP, what is the probability that he is also 4Ps? If that person is not a 4Ps, what is the probability that he i
- Three dice 2
What is the probability that two odd numbers will be the same when three dice are rolled?
- Numbers 6D
Find out how many natural six-digit numbers exist whose digit sum is four.
- How many 13
How many ways can X³ y⁴ z³ be written without an exponent?
- Two-element combinations
Write all two-element combinations from elements a, b, c, and d.
- 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?
- Hockey Championships
At the 2021 World Hockey Championships, there are eight teams in Group A, each playing seven matches. There are 4 points for each team to gain points (3-2-1-0), but it is always paired with the opponent's points ( 0-1-2-3). How many points are there possi
- Divisible 67434
The number of Beata's house is 2018. The numbers of Jura's and Dan's houses are made up of the same numbers. A) What number of Jura's house can be if it is divisible by 4? List all the options. B) What can Dan's house number be if it is divisible by 5? Li
- BRATISLAVA 35531
How many words can we make from all letters of the word BRATISLAVA?
- Sum on dice
We have two dice. What is the greater likelihood of falling a total sum of 7 or 8? (write 7, 8, or 0 if the probabilities are the same)?
- Red balls
The bag has three red, 12 blue, and eight green balls. If we want the probability of pulling out the red balls to be 20%, how many red balls must we add to the bag?
- Raffle
How many raffle tickets must be purchased by Peter in a raffle with issued 200 tickets if he wants to be sure to win at least a third price? The raffle draws 30 prices.
- Probability 81117
Martin forgot the 4-digit PIN, and he remembered the first three numbers. The fourth number is odd. What is the probability in % that he will be able to determine the PIN? He has only one attempt.
- Divisible 6615
How many 3-digit numbers can be composed of the digits 1,3,5,7,9 if the digits are not allowed to be repeated in the number notation? How many of them are divisible by five?
- Beginning 6334
On the tray, they had apricot and plum cakes in a ratio of 3:2. After eating three apricot pies, the chance of taking out a plum and apricot was the same. How many cakes were there together on the tray at the beginning?
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