Combinatorics - math word problems - page 27 of 52
Number of problems found: 1031
- Cups on the shelf
We should place two green, three red, and two yellow cups side by side on the shelf. a) How many different ways of setting up can arise? b) How many different ways of arranging can arise if cups of the same color stand side by side?
- Graduation party
There were 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected.
- Down syndrome
Down syndrome is one of the serious diseases caused by a gene mutation. Down syndrome occurs in approximately every 550-born child. Express the incidence of Down's syndrome in newborns at per mille.
- To improve
To improve her handwriting, Paula practices writing the numbers 1 to 200 in words. How often will she have written the word "one" in all?
- Bridge cards
How many bridge hands are possible containing 4 spades, 6 diamonds, 1 club, and 2 hearts?
- Cards
How many ways can you give away 32 playing cards to 7 player?
- Two doctors
Doctor A will determine the correct diagnosis with a probability of 89% and doctor B with a probability of 75%. Calculate the probability of proper diagnosis if both doctors diagnose the patient.
- Phone numbers
How many 9-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?
- Indistinguishable 48981
How many ways can we build eight indistinguishable towers on an 8 × 8 board so they don't endanger each other?
- Different 42371
How many ways can you store seven different books side-by-side when a math book has to be on the edge of the shelf?
- Three-digit 38371
How many odd three-digit numbers can you make of the five cards with the numbers 1, 2, 3, 5, and 6?
- Ascending 32663
How many natural numbers can you make from the digits in 4052? No digit may be repeated in the number entry. Sort the numbers in ascending order of size.
- Double-digit 17103
If we can repeat the digits in a number, how many double-digit numbers can we create from the digits 1, 2, 3, 4, 5, and 6?
- Different 7860
How many different triplets can be created from 4 pupils if it does not matter the order of the pupils in the triplets?
- Football 5788
Tomas has four football jerseys: red, blue, white, and green. How many ways can Tomáš place them on the shelf next to each other so that the red and blue jerseys are adjacent?
- Divisions 4044
School players scored seven goals in the match. List all possible goal divisions into three-thirds and add up how many.
- Auto-tuning
During auto-tuning, the TV searched for 25 channels, four of which were music. The channels are stored in the TV's memory in random order. Express the percentage of the event that We will save the music channel first.
- Three-digit numbers
Use the number 4,5,8,9 to write all three-digit numbers without repetition. How many such numbers are there?
- Toys
3 children pulled 12 different toys from a box. How many ways can toys be divided so each child has at least one toy?
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