This question can be answered by using the rules of 5C3, or five choose three. The answer relates to how many possible combinations there are given five items. Three digits are considered combinations if they are not of the same set. In order to determine how many combinations exist for each combination, Doug arranged his numbers in a row. Then he figured out the next step. To get to 120 valid combinations, he repeated each digit in each row.
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6 ways to arrange three digits in a row
It’s not uncommon to give children a list of three digit numbers and ask them to find the highest or lowest number. The problem comes when a number has more than one digit. There are six ways to arrange three digits in a row. Here are the six most popular ways to do this. If the first digit is one, there are two ways to arrange it in the next row, and if the second digit is two, there are three ways.
5C3 or 5 choose 3 refers to how many combinations are possible from 5 items
‘5C3’ is a mathematical term referring to the number of combinations possible from a set of 5 items. It is an extremely common form of permutation, where objects are arranged in different ways. The number of possible combinations, also known as permutations, are calculated using the formula nCr = n!/r!, where n represents the number of items to be chosen and r, the number of objects to be picked at once.
When you play the game, you get a set of 5 items, and each person must select 3 items from them. You cannot combine the same item twice in a set. These combinations are called permutations. In other words, the order of the items does not matter. The set of 5 items is divided into several subsets, and you must choose 3 from each of those sets.
3 digits can be repeated as long as they are not of the same set
It is possible to repeat three digits as long as they are not of the same number set. However, a common mistake in reading or writing three digit numbers is misinterpreting the digits’ place value. If a three digit number is repeated once, the remaining digits should not be in the same place. The next time you need to repeat a three digit number, read the question again.
The principle of multiplication allows you to repeat three digit numbers as long as they do not form part of the same set. So, for example, if you want to repeat three threes, you can repeat them as long as they are not of the same set. The second set of three digits will not repeat. So, the third set can be repeated as long as it is not the same number as the first.
There are three ways to express a three-digit number. First, you can expand the number by determining the place value of the first two digits. For example, if the number 457 is four digits, it would be expressed as four x hundreds, five x tens, and seven x ones. Another way to represent the same three-digit number is to write it as a four digit number (four x tens) – this would be 40. You would then multiply the tens place by one and then subtract it from three.
