# Flags

How many different flags can be made from colors red, yellow, blue, green, white so that each flag consisted of three different colors?

**Correct result:****Showing 3 comments:**

**Math student**

This solution is for if the order of color matters. However, according to the question, order does not matter. It is therefore a combination, not a permutation. The solution should be (7x6x5)/3! = 35.

Tips to related online calculators

See also our permutations calculator.

See also our variations calculator.

Would you like to compute count of combinations?

See also our variations calculator.

Would you like to compute count of combinations?

#### You need to know the following knowledge to solve this word math problem:

## Next similar math problems:

- You have

You have 4 reindeer and you want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line. How many different ways can you arrange your reindeer? - Divide

How many different ways can three people divide 7 pears and 5 apples? - How many 4

How many 4 digit numbers that are divisible by 10 can be formed from the numbers 3, 5, 7, 8, 9, 0 such that no number repeats? - Three-digit numbers

We have digits 0,1,4,7 that cannot be repeated. How many three-digit numbers can we write from them? You can help by listing all the numbers. - Big numbers

How many natural numbers less than 10 to the sixth can be written in numbers: a) 9.8.7 b) 9.8.0 - Tournament

How many matches will be played in a football tournament in which there are two groups of 5 teams if one match is played in groups with each other and the group winners play a match for the overall winner of the tournament? - Gold, silver, bronze

How many ways can we divide gold, silver, bronze medails if there are 6 people competing? - Five letters

How many ways can five letters be arranged? - Chess competition

4 chess players took part in the competition. How many tournaments have taken place if every chess player has fought everyone once? - The test

The test contains four questions, and there are five different answers to each of them, of which only one is correct, the others are incorrect. What is the probability that a student who does not know the answer to any question will guess the right answer - The box

The box contains five chocolate, three fruit, and two menthol candies. We choose sweets at random from the box. What is the probability that we will take out one chocolate, one fruit, and one menthol candy without a return? - Research in school

For particular research in high school, four pupils are to be selected from a class with 30 pupils. Calculate the number of all possible results of the select and further calculate the number of all possible results, if it depends on the order in which th - Hazard game

In the Sportka hazard game, 6 numbers out of 49 are drawn. What is the probability that we will win: a) second prize (we guess 5 numbers correctly) b) the third prize (we guess 4 numbers correctly)? - Birthday paradox

How large must the group of people be so that the probability that two people have a birthday on the same day of the year is greater than 90%? - Fall sum or same

Find the probability that if you roll two dice, it will fall the sum of 10, or the same number will fall on both dice. - Birth

Let's assume that the probability of the birth of a boy and a girl in the family is the same. What is the probability that in a family with five children, the youngest and oldest child is a boy? - The university

At a certain university, 25% of students are in the business faculty. Of the students in the business faculty, 66% are males. However, only 52% of all students at the university are male. a. What is the probability that a student selected at random in the