Combinatorics - math word problems - page 18 of 57
Number of problems found: 1135
- 2nd class combinations
From how many elements can you create 2346 combinations of the second class? - Combinations
Evaluate the following expression involving combinations and permutations: C(6,3) + 3 P(6,3) - Flags
How many different flags can be made from green, white, blue, red, orange, yellow, and purple materials if each flag consists of three stripes of different colours? - Orchard
An orchard has 10 trees in each of 5 rows. How many trees are in the orchard? - Weekly pair options
There are 13 boys and 17 girls in the class. The weeklies are always either two girls or a boy and a girl. The teacher calculated that she has 357 ways to create a pair of weekly newspapers. However, Anetka did not come to school on Monday morning. How ma - Chessboard piece placement
Determine how many ways we can place 5 different pieces on an 8x8 chessboard so that two are on black squares and three are on white squares. - Committee 2
How many committees consisting of 3 women and two men can be formed from a group of 6 women and five men? - A car license plate
A car licence plate consists of one letter (out of 26) and six digits. How many different plates can be formed if the letter is always in the second position and cannot be adjacent to a zero? - A lottery
In a lottery, a person chooses four different natural numbers at random from 1 to 10, and if these four numbers match the four numbers already fixed by the lottery committee, he wins the prize. What is the probability of winning the prize in the game? (Th - Medal division ways
Ten teams are playing in the Slovak hockey league. Gold, silver, and bronze medals are at stake. How many ways can it be divided? - Outfit combination calculation
Jasmine is very fashion-conscious. She wants to wear a different outfit every day. She has four different shoes, seven skirts, 8 T-shirts, and three hair ornaments. How many days can an outfit be combined each time? - Lock
A combination lock will open when the right choice of 3 numbers (from 1 to 16 inclusive) is selected. A. How many different lock combinations are possible? B. Is the combination lock named appropriately? - Alcohol risk
The 2009 Youth Risk Behavior Survey found that about 5 out of 12 high school students drank some alcohol in the 30 days preceding the survey. If a high school has 2400 students, how many would be expected to have used alcohol within 30 days? - Customer 5
A customer decided to buy a Laura bed with a wooden slatted frame (available in 2 types) and an extra-firm mattress (available in 4 types) in one of three colours. Determine how many different combinations of the Laura bed with a wooden slatted frame and - Clothing option
Sylvia wants to buy a new T-shirt, skirt, and pants. The boutique has ten different T-shirts, a white and black skirt, and six types of trousers. How many different clothing options can you buy? - Ball probability
We have four red, three blue, six yellow, and two black balls in the bag. Find the probability of pulling the blue or red ball. - PIN attempts
How many attempts do I need to guess the 3-digit PIN to be sure I can guess it? - Card sum probability
There are tickets with the numbers 1, 2, 3, 4, 5, 6, 7, and 8 in the envelope. Two tickets are drawn from the envelope at a time. What is the probability that the sum of the numbers drawn will be 7? Write the result as a decimal rounded to hundredths. - Lottery ticket probability
In the lottery, where 326 numbers are drawn, Maros marked 7 numbers on the ticket. Kevin marked 11 numbers in another lottery, and 421 numbers were drawn. Which of these friends has a better chance of winning? - Five-digit number creation
How many 5-digit numbers can we create from the number 1,2,3,4,5 if the one's place is to have the number 5? (digits must not be repeated.)
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