Combinatorics - practice problems
Number of problems found: 853
- Probability 80394
We have 10 red and 10 white balls. We will take 5 white. What is the probability of picking a white ball?
- Determine 80014
Determine the number of all natural numbers greater than 200 in which the digits 1, 2, 4, 6, and 8 occur at most once each.
- Four-digit 79614
Determine the number of all four-digit natural numbers in decimal notation in which the digit 0 is not present, and each of the remaining nine numbers occurs at most once.
- Determine 79604
In the shoe cabinet, there is one pair each of boots, sandals, tennis shoes, and brown and black ankle boots. Determine how many ways one right shoe and one left shoe can be chosen from among them that do not belong together.
Out of 5 different dishes, the HOD is to test at least three different dishes before scoring the students. How many ways can he choose the dishes?
- Five brown
Five brown eye contracts, seven green pairs, and four blue pairs. What's the probability that Gianna will randomly select a brown pair or green pair?
- A fair coin
A fair coin is tossed twice. Write down the set of possible outcomes. What is the probability of obtaining it? I. Exactly one head ii. No head
- Menu choice
In a Jollibee, you have a menu choice of C1, C2, and C3. For dessert, you have a choice of ice cream and mango peach. How many different options do you have?
- Competition 73174
There are 10 students in the class, of which 8 are girls and two are boys. We want to select three for the competition. What is the probability that they will be: a) 2 girls and 1 boy b) 1 girl and 2 boys c) 3 girls d) 3 boys e) at least 2 girls
- 20 balls
20 colored balls in a bag: Four red Seven green Nine yellow What is the probability of picking a yellow ball?
- Four-digit 73114
How many four-digit numbers can we assemble from the digits 2, 6, 3, 5, 1, and 9 if the numerals in the number cannot be repeated?
- T-shirts 73074
Dušan has 8 T-shirts and three pairs of shorts in his closet. How many ways can he dress for school?
- Probability 71784
What is the probability that if you roll the die twice, the sum of 12 will fall?
- Three-digit 71724
Use the product rule to find out how many three-digit numbers exist.
- Probabilities 71194
We have a dummy die where numbers fall with probabilities P (1)=0.1; P (2)=0.2; P (3)=0.22; P (4)=0.16; P (5)=0.24; P (6)=0.08. Determine the probability that the two tosses the same numbers.
- Including 70264
A group of six, including at least three women, is selected from seven men and four women. Find how many ways we can do this.
Assume that you are to buy 5-peso worth of candy in two different stores. In your coin purse that contains two 20-peso coins, three 10-peso coins, six 5-peso coins, and seven 1-peso coins, what is the probability of getting two consecutive 5-peso coins fr
- Competition 69474
There are ten girls and seven boys in the dance group. Only one mixed couple is to go to the competition. How many are all possible pairs from which we can choose a pair for the competition?
- Five-a-side 69434
Five children took part in the five-a-side tournament: Anka, Betka, Celeste, Dano, and Erik. Everyone played with everyone. How many games have been played?
- Three-member 69274
The teacher wants to create one three-member team of four girls and four boys, in which there will be one girl and two boys. How many different options does it have to create a team?
Would you like to compute the count of combinations?