Combinatorics - practice problems - page 6 of 54
Number of problems found: 1077
- Raspberries 66824
Klára wants to make a fruit cocktail using three types of fruit: pineapple, pears, bananas, raspberries, and cherries. How many different cocktails can he create? - Designated 66594
Marenka is required to read three books out of five designated books. How many ways can three books choose to be read? - Combinations equation
C(2, 8) + C(3, 4) = - 6 married
Six married couples are in a room. If two people are chosen at random. Find the probability that; a). they are married. b). one is male, and one is female. - Different 65654
Jane received three different marks (1-5) during the day. How many marks did she receive? A) 6 B) 8 C) 10 D) 12 - Three digit from four digits
How many three-digit numbers can you make using the digits 4,6,7 and 9? - Four-digit 65124
Please find out how many different four-digit numbers we can create from the digits 3 and 8 so that the two digits three and two digits eight are used in each four-digit number created.
- Probability 64634
What probability does a randomly drawn two-digit number have the same digits? Write the result as a decimal number. - Sons
The father has six sons and ten identical, indistinguishable balls. How many ways can he give the balls to his sons if everyone gets at least one? - Probability RGB
The bag has six red, five green, eight blue, and 11 yellow balls. What is the probability that we will pull out a green ball? - Three-digit number How many three-digit natural numbers can we form from the digits 0, 1, and 2 if the numerals can be repeated in these numbers?
- Combinations 63634
Jana has three blouses, red, blue, and white, and three skirts, blue, black, and brown. In how many days will all combinations of blouses and skirts change? - Identical 63414
Jeníček has 4 identical yellow dice and 3 identical blue dice. How many different colored snakes can make them? - According 63394
Three boys and four girls. How many ways can they be placed side by side according to gender? - Six attractions
How many opportunities do you have if you want to complete ten rides on the fair, but there are only six attractions?
- School group
There are five girls and seven boys in the group. They sit in a row next to each other. How many options if no two girls sit next to each other? - Possibilities 57821
How many different positions can there be in the first three places in the hockey world championship if 12 teams are playing in them? How many possibilities exist if we are only concerned with which teams will be on the podium? - Basketball 54361
The basketball team consists of five players. Determine how many options his coach has to build a team if he has 12 players. - Right key
The hostel has 4 rooms. The keys to each room are not numbered. Each of the four guests took one key. What is the probability that everyone took the right key? - Probability 49301
Eva and 199 other students took part in job interviews at the Dream School, which accepts only the 120 most successful students. What is the probability of its acceptance?
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