# How Does Combination Work?

## How do you explain a combination?

Combinations are much easier to get along with – details don’t matter so much.

To a combination, red/yellow/green looks the same as green/yellow/red.

Permutations are for lists (where order matters) and combinations are for groups (where order doesn’t matter).

In other words: A permutation is an ordered combination..

## How many ways can 5 numbers be arranged?

To sum up: The number of combinations of 5 digits is 5x4x3x2x1 ( which is 120 if I’m not mistaken).

## How do you find the probability of 3 numbers?

Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring. In the case of rolling a 3 on a die, the number of events is 1 (there’s only a single 3 on each die), and the number of outcomes is 6.

## What are the types of combination?

Combination reactions are of three types:In the first type of combination reaction, an element combines with another element to form a new compound. … In second type of combination reaction, an element combines with a compound. … In the third type of combination, 2 or more compounds combine to form a new compound.

## What is difference between permutations and combinations?

When the order doesn’t matter, it is a Combination. When the order does matter it is a Permutation.

## How many ways can first and second place be awarded to 10 people?

P = 10! 7! There are 720 different outcomes possible in the race.

## What is combination used for?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.

## How many combinations of 3 numbers are there?

720There are, you see, 3 x 2 x 1 = 6 possible ways of arranging the three digits. Therefore in that set of 720 possibilities, each unique combination of three digits is represented 6 times.

## How many patterns can 3 shapes make?

There are 18 combinations for this arrangement (3x3x2). Finally, each spot can be a different color (rby, ryb, bry…..). There are 6 combinations for this arrangement (3x2x1). Hope this helps!

## How many combinations of 3 numbers can you have without repetition?

considering all the above , it can be done in 3 * 3 * 3 = 27 ways. If you do not allow for repetition of digits, then it can be done 3 * 2 * 1 = 6 ways.

## How many combinations of 7 numbers are there?

127The number of combinations that are possible with 7 numbers is 127. In general, the formula we use to determine the number of combinations possible…

## What are all the possible combinations of 1234?

If you wager on 1234 boxed, you would win if any of the following combinations were drawn: 1234, 1243, 1324, 1342, 1423, 1432, 2134, 2143, 2314, 2341, 2413, 2431, 3124, 3142, 3214, 3241, 3412, 3421, 4123, 4132, 4213, 4231, 4312, or 4321.

## How many combinations of 3 numbers can you make with 5 numbers?

10 possible combinationsSo 5 choose 3 = 10 possible combinations.

## How many combinations are there in 5 numbers?

120Hence there are 2 choices for the fourth digit and only 1 choice for the fifth digit. Thus you have made 5 × 4 × 3 × 2 1 = 120 choices and there are 120 possible 5 digit numbers made from 1, 2, 3, 4 and 5 if you don’t allow any digit to be repeated. Now consider the possibilities with 13 as the first two digits.

## How do you calculate combinations?

The number of combinations of n objects taken r at a time is determined by the following formula: C(n,r)=n! (n−r)!