Combinatorics - math word problems - page 29 of 52
Number of problems found: 1031
- Probability 6559
In the first container, we have 3 white and 6 black balls. In the second container, we have 2 white and 6 black balls. We randomly transfer 1 ball from the first container to the second container. What is the probability that I then pick 2 white marbles f
- Three-digit 5226
How many different three-digit natural numbers can be created so that the digits are different and the last digit is 0?
- Divide
How many different ways can three people divide seven pears and five apples?
- Four-digit numbers
How many four-digit numbers can we make from the numbers 2, 6, 3, 5, 1, and 9 if we cannot repeat the numbers in the number?
- Peaches
There are 20 peaches in the pocket. Three peaches are rotten. What is the probability that one of the randomly picked two peaches will be just one rotten?
- Competition
Fifteen boys and ten girls are in the class. In the school competition, a six-member team composed of four boys and two girls is selected. How many ways can we choose students?
- Cards
Suppose that are three cards in the hats. One is red on both sides, one of which is black on both sides, and a third one side red and the second black. We randomly pull out a hat on one card and see one side of it is red. What is the probability that the
- Neighborhood
I have 7 cups: 1 2 3 4 5 6 7. How many opportunities for standings cups are there if 1 and 2 are always neighborhood?
- Arrangements 68764
We have two identical blue balls and two identical red balls. We arrange them in a row in all ways. How many different arrangements are there?
- Possibilities 8237
How many different possibilities exist for settling friends A, B, C, D, E, and F in six seats if A wants to sit next to C?
- People 7331
How many people must be in a group for at least two of them to be born in the same month?
- Three-digit 6690
How many three-digit numbers do we make from the numbers 4,5,6,7?
- Accommodated 6614
Sixteen students on the brigade will be accommodated in one 8-bed and two 4-bed rooms. How many ways can they do that?
- Probability 3219
In recent years, it has rained 12 days in March. What is the probability that it rained on March 18?
- Birthday boy 2
In how many ways can seven people be seated around a table so that the birthday boy sits at the head?
- A bag 2
A bag contains seven green and eight red jellybeans. How many ways can five jellybeans be withdrawn from the bag so that the number of green ones withdrawn will be less than 4?
- Three wagons
I have six different people (A, B, C, D, E, F), which I have to place into three wagons if it depends on who will board. How many options are there?
- Birth
Let's assume that the probability of the birth of a boy and a girl in the family is the same. What is the probability that the youngest and oldest child in a family with five children is a boy?
- Two groups
The group of 10 girls should be divided into two groups with at least four girls in each group. How many ways can this be done?
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