How many permutations with 4 numbers?
Understand the Problem
The question is asking us to calculate the number of permutations of 4 distinct numbers. We will use the formula for permutations, which is n! (n factorial), where n is the number of items to arrange.
Answer
24
Answer for screen readers
The number of permutations of 4 distinct numbers is 24
Steps to Solve
- Understand the formula for permutations
The permutation of n distinct items is given by the formula $n!$ (n factorial).
- Calculate the factorial
For 4 numbers, we need to calculate $4!$:
$$4! = 4 \times 3 \times 2 \times 1$$
- Multiply the numbers
Perform the multiplication:
$$4 \times 3 = 12$$ $$12 \times 2 = 24$$ $$24 \times 1 = 24$$
The number of permutations of 4 distinct numbers is 24
More Information
The concept of permutations is useful in many fields including statistics, computer science, and everyday life. For example, the arrangement of books on a shelf or the order of participants in a race are problems involving permutations.
Tips
A common mistake is to confuse permutations with combinations. Remember, permutations account for the order of the items, while combinations do not.
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