Combinatorics - math word problems - page 33 of 54
Number of problems found: 1077
- Sum 10
What is the probability that two dice thrown twice in a row will result in the sum of 10? - Chess
How many different ways can you initiate a game of chess (first pass)? - Red balls
The bag has three red, 12 blue, and eight green balls. If we want the probability of pulling out the red balls to be 20%, how many red balls must we add to the bag? - Calculation 73364
From the number 5,4,0,7,8, create three-digit numbers, so they do not repeat and solve the problem by calculation. - 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? - Identical 71234
How many ways can you divide two identical apples and: a) 3, b) 4, c) 5 identical pears between Janka and Mařenka? - Assemble 70414
How many ways can we assemble five wagons when sand is in three wagons and cement in two?
- Spouses 61294
Ten married couples board the train, which has five cars. How many ways can they take if no two spouses want to be in the exact vehicle? - Different 57811
How many different 6-member teams can be made up of seven boys and four girls if there are two or four girls in the team? - Starting 38113
How many ways can we put 19 students in a row when starting a gym? - Positions 26151
How many positions are there to store three books on the shelf? - In the shipment
There are 40 products in the shipment. Of these, 4 are defective. In how many ways can we select 5 products so that exactly 3 of them are good? - Ways
There are 3 different roads from Lehota to Hradec and 4 different roads from Hradec to Buda. Determine the number of ways in which it is possible to choose the route from Lehota via Hradec to Buda and back so that no road is used twice. - There
There were 12 members on the commission. Five members were in favor, and seven members were against the proposal. In how many ways could it help the commission vote? - Division
The division has 18 members: 10 girls, six boys, and two leaders. If one patrol has two boys, three girls, and one leader, how many different patrols can be created?
- Three digits number
From the numbers 1, 2, 3, 4, and 5, create three-digit numbers whose digits do not repeat, and the number is divisible by 2. How many numbers are there? - Numbers 7755
How many digits 7 are in numbers from 1 to 777? - Different 4117
The florist has 18 tulips and 15 freesias. How many different bouquets can she make if she uses all the flowers? How many freesias will there be in one bouquet? - Stoaches
Stoaches are fictional creatures distantly related to bigfoot and yeti. Stoach weights are normally distributed, with a mean of 904g and a standard deviation of 104g. State the probability that the sample mean of a random sample of 36 stoach weights excee - Repetition: 82003
Calculate how many different monograms (short name and surname) I can make from the letters A, E, M, Z, and K. a) with repetition: b) without repetition:
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