What does it mean by order does not matter?

Before we discuss permutations we are going to have a look at what the words combination means and permutation. If the order doesn’t matter then we have a combination, if the order do matter then we have a permutation.

What is an order matter?

“Order matters” means that re-arrangements of numbers are considered different. For example (1, 2, 3) is one arrangement, and (1, 3, 2) is a different arrangement of the numbers 1, 2, and 3. “Order doesn’t matter” means that re-arrangements of numbers are considered the same.

What does order matters mean in probability?

The order does not matter when the variables are independent random variables, i.e., when the probability of one variable does not depend on the outcome of the previous. The order when a previous even influences the current one.

Why does number order matter?

Order is a matter in Math as a natural one, because the set of all real numbers is a completely ordered set and many other sets have natural partial-orders inside .

How do I know if my order matters?

Permutations are for lists (order matters) and combinations are for groups (order doesn’t matter). You know, a “combination lock” should really be called a “permutation lock”. The order you put the numbers in matters. A true “combination lock” would accept both 10-17-23 and 23-17-10 as correct.

Does order matter without replacement?

r! We divide by r! to reduce the number of combinations repeated since order is not important. Since order does not matter and there is no replacement, we use combinations.

Does order matter list?

In short, yes, the order is preserved. In long: In general the following definitions will always apply to objects like lists: A list is a collection of elements that can contain duplicate elements and has a defined order that generally does not change unless explicitly made to do so.

How do you know when order matters?

Does order always matter in probability?

It doesn’t matter whether you catch hold of the man first or the woman first. In the first question, the probability of picking the correct second number depends on what you picked in the first selection. Hence we consider the order.

Does order matter relationship?

For each item, it is either in the set or not in the set. There are no other choices. Therefore, for the four unique elements, there are two possible states associated with each one (either in or not in) and these are orthogonal — independent with regard to each other. And again, order does not matter.

Does order matter in combinations?

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

What is the difference between possibilities and order matter?

When order matter are counted also as possibilities the ones with the same numbers but placed in different positions. For example if you have to calculate how many possibilities you can have composing a code of 3 numbers and the order matter are considered 6 different codes 531,513,135,153,351,315

Does order matter?

We say that “order does not matter”. Counting the number of poker hands. Counting the number of arrangements of people in a row at the movies. The difference between the types of combinatorial objects in 1 and 2 exemplifies the difference between order unimportant (in 1) and order important (in 2) counting.

What is a combination of numbers without repetition?

Combinations without Repetition. This is how lotteries work. The numbers are drawn one at a time, and if we have the lucky numbers (no matter what order) we win! The easiest way to explain it is to: assume that the order does matter (ie permutations), then alter it so the order does not matter.

What is the Order of the combination to the safe?

“The combination to the safe is 472”. Now we do care about the order. “724” won’t work, nor will “247”. It has to be exactly 4-7-2. When the order doesn’t matter, it is a Combination. When the order does matter it is a Permutation. So, we should really call this a “Permutation Lock”!