Combinatorial number - high school - practice problems - page 5 of 14
Number of problems found: 274
- Raspberries 66824
Klára wants to make a fruit cocktail from three types of fruit. It has pineapple, pears, bananas, raspberries, and cherries. How many different cocktails can he create? - Sapphires 45461
The jeweler selects three gems in the ring. It has rubies, emeralds, and sapphires. How many choices does it have? - Arithmetic 36901
The examiner has prepared 20 examples from arithmetic. He wants to choose seven samples for the paper. The order of the examples does not matter. How many different papers can he compile? - Delegation 16263
There are 22 girls and nine boys in the class. How many ways can a delegation be created with three girls and one boy? - Determined 3570
There are 12 points in space, with no three lying on a straight line. How many different planes are determined by these points? - 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. - Deficiencies
The hygienic inspection of 2000 mass caterers found deficiencies in 300 establishments. What is the probability that flaws in a maximum of 3 devices will be found during the inspection of 10 devices? - Probability of failures
In specific productions, the probability of failure is 0.01. Calculate the likelihood of more than one failure among the 100 selected products if we return the selected products to the file after the check. - Family
Ninety-four boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children. - A student
A student is to answer 8 out of 10 questions on the exam. a) find the number n of ways the student can choose 8 out of 10 questions b) find n if the student must answer the first three questions c) How many if he must answer at least 4 of the first five q - Two aces
From a 32-card box, we randomly pick 1 card and then two more cards. What is the probability that the last two drawn cards are aces? - There
There were 12 members on the commission. In the vote, five members were in favor, and seven members were against the proposal. In how many ways could it help the commission vote? - Word
What is the probability that a random word composed of chars S, G, R, S, E, I, N, A, L, P, C, T, M, H, E, E will be the SPHERICALSEGMENT? - Questions 81676
You will learn 50% of the 30 questions. If I get 4 questions, I'll know 3. - Probability 81115
The probability of sprouting each avocado pit is 0.9. We planted 3 stones. What is the probability that exactly two of them will sprout? - Probability 80860
During the exam, the student takes 3 questions out of 20. He is ready for 14 of them. Find the probability that he draws at least one that he knows. - Probability 30421
There are 25 students in the class, 12 of whom are not ready for math. There are five students in the math class. What is the probability of at least 3 being math-ready? - (four-seater) 17053
Karel wants to take some 15 classmates out of school after graduation. How many passengers does he have to choose if he has to fill the car (four-seater)? - Probability 17023
In the draw pole, five numbers out of 35 are drawn. The third prize is paid for three guessed numbers. What is the probability of winning the third prize if we submit a ticket with one of five numbers? - Sales
From statistics of sales goods, item A buys 51% of people, and item B buys 59% of people. What is the probability that from 10 people buy 2 item A and 8 item B?
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