How many combination with 4 numbers

There can only be one person in each seat, and there are only 10 people that can sit in a seat. There are 10 numbers because single-digit numbers go from In any given combination, any one of the 10 numbers can take any of the four seats. For the first seat, there are 10 options in any given combination. Moreover, for the second seat, there are 10 options in any given combination. The same also applies to the third and fourth seats. To find the total options for all of the combinations, multiply the number of options for the first seat by the number of options for the second seat by the number of options for the third seat by the number of options for the fourth seat.

In other words, you need to multiply 10 x 10 x 10 x If you say that there are 10, possible combinations with four numbers, you would be both right and wrong.

That is, the 10, answer accounts for allowing any of the 10 numbers to sit in any of the four seats. Following this theory, one of the 10, combinations could be , , , or Let's throw a wrench into the equation. In the real world, four-digit combinations often do not have repeating numbers. In fact, many companies do not allow people to set four-digit passwords that repeat the same number over and over.

So, how many possible four-digit number combinations are there where numbers don't repeat? Forget the seats for a moment and turn to a handy-dandy mathematical formula called the binomial coefficient formula. The formula is as follows:. In case you didn't know, each exclamation point represents a factorial.

Although both the name and the formula look complicated, it's actually much easier in practice. Turns out, the concept of people in seats will be helpful for this one too. Get help. Password recovery. Home English What are all the possible combinations of ?

English General Lifestyle. Read the full answer 10, possible combinations Beside this, How many permutations does have?

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Emily Oneal. Popular Asks. Can I eat pizza on a low sodium diet? Chloe Trumpp. If we have the numbers 1, 2, 3, and 4, how many combinations of 4 digit numbers can we make?

Statistics Probability Combinations and Permutations. Jan 30, Explanation: If we are looking at the number of numbers we can create using the numbers 1, 2, 3, and 4, we can calculate that the following way: for each digit thousands, hundreds, tens, ones , we have 4 choices of numbers.

In the hundreds place, we'll then have 3 choices 1, 2, 3, 4, less the one taken for the thousands. And then for the hundreds we have 2 choices, and the ones have the remaining choice. Related questions At a restaurant, you can choose from 2 appetizers, 4 main courses, and 3 desserts. How many