Multiplication principle + combinatorial number - practice problems
Number of problems found: 146
- A basket 4
A basket contains 9 fruits, where 4 are oranges, and the rest are mangoes. Three fruits are taken out one at a time and put aside. Find the probability that 3 are oranges.
- A ferry
A ferry with a capacity of 10 people takes a group of 13 men and 7 women across a river. Find the number of ways in which the group may be taken across the if all women go on the first group.
- Two dice 3
Two dice are thrown together. What is the probability that the number obtained on one of the dice is a multiple of the number obtained on the other dice? 2/3 9/36 12/36 11/18
- Student examination
How many ways can a teacher select a group of 6 students to sit in the front row if the class has 13 students?
- 52 cards
A hand of five cards is dealt from a pack of 52 playing cards. How many different hands can be dealt that contain three aces?
- Grouping - combinatorics
In how many different ways can 24 people be divided into: a) 6 groups of the same size. b) Groups of 5, 6, 7, and 6 people. c) Groups of 4, 5, 7, and 8 people.
- Playmakers + coach
In a basketball game, two pivots, two wings, and one point guard play. The coach has three pivots, four wing players, and two playmakers available on the bench. How many different five players can a coach send to the board during a game?
- Probability 83267
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.
- Play match
A hockey match played for three periods ended with a score of 2:3. How many possibilities are there on how the given thirds could have been completed?
- Participated 81728
The school volleyball tournament was played on a one-on-one basis. One match lasted 15 minutes, and 3 hours and 45 minutes were played. Calculate how many teams participated.
- Questions 81676
You will learn 50% of the 30 questions. If I get 4 questions, I'll know 3.
- Participants 80965
After the meeting, all participants shook hands with each other - a total of 105 times. How many people were there at the meeting?
- Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400?
- Dishes
The HOD is to test at least three different dishes out of five before scoring the students. How many ways can he choose the dishes?
- The chief
The chief fisherman, Peter, estimates that if he uses four lines, then the probability of making a catch on one line is 0.7. If he uses five lines, then the probability of making a catch on any line is 0.6. If he uses six lines, the probability of making
- A committee
A committee of 6 is chosen from 8 men and 7 women. If a particular man must be included, find how many committees are possible.
- Probability 73714
I roll six six-sided dice; what is the probability that exactly three threes will fall?
- 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?
- Probability - dices
We roll six dice. What is the probability that: a) a six falls twice b) six falls four times
Do you have unsolved problem that you need help? Ask a question, and we will try to solve it. Solving math problems.