Combinatorics + reason - practice problems - page 5 of 19
Number of problems found: 378
- Sitting 6612
Seven boys are sitting next to each other in the cinema. How many ways can they sit on the seats if the boys want to sit next to each other? - Repetition 80362
How many six-digit numbers without repetition can be formed from the digits 1, 2, 3, 4, 5, and 6, if the numbers are, to begin with: a) the digit 4; b) digits 4 or 5? - Probability 72324
We used the digits 2, 3, 4, 5, and 7 when entering the PIN code, and we only used each digit once. What is the probability that someone will guess our PIN code on the first try? - Different 68064
Anna painted eggs for art. She had five colors for her eggs. He wants to put three of them on each. How many different colored eggs could she paint? (It's just the colors, not the shapes on them. )
- Numbers 65734
There are 100 tickets in a pocket with the numbers 1 to 100. What is the probability that we will randomly draw a ticket with a number starting with the number 5? - Combinations 29311
We have seven players and have to form a 5-member team where 6 and 7 players cannot play together. How many possible combinations can the coach make? Please explain. - Different 25431
Tickets have 9 numbered windows. How many different codes can be set for each other if 3 or 4 windows are punched? - Probability 3065
Natural numbers 4,5,7,11,12 are given. Calculate the probability of the event that the sum of randomly selected three different numbers is less than 22. - There 25
There are four red marbles and six blue marbles in a bag. What is the probability of picking up one blue marble and then one red marble? (assume that you keep the blue marble out of the bag)
- A married
A married couple planned to have three children. i. List the possible combinations of the sexes of 3 children. Use B for a boy and G for a girl. ii. Calculate the probability that all three children would be of the same gender - Sweater
Dana confuses me that sweaters and wool have a choice of seven colors. In how many ways can she choose from three colors for the sleeves? - Repeated 79734
How many numbers a) less than 500, b) greater than 500 can be formed from the digit 0,1,5,8,9 so that no digit is repeated? - Gertrude 62304
Six boys and six girls (among them Emil, Félix, Gertrude, and Hanka) want to dance. The number of ways they can make six (mixed) couples if Emil does not want to dance with Gertrude and Hanka wants to dance with Felix is? - Probability 8280
We have ten white, ten red, and ten blue balls in our pockets. We selected five white, two red, and three blue balls. What is the probability that we will pick a white ball in the next move?
- Three-digit numbers
We have digits 0, 1, 4, and 7 that we cannot repeat. How many three-digit numbers can we write from them? You can help by listing all the numbers. - Possibilities 82372
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? - Between 72924
How many ways do we know to select three cards from a deck of seven cards so that there are two red and one green between them? - 4-digit 8231
How many 4-digit numeric pin codes can be created so that not all four digits are identical? - Friends 7624
Five friends want to sit on one bench. How many ways can this be done if one of them always sits in the middle of the bench?
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