Math Problem Statement

Calculate the factorial sigma 2 x=1 x

Solution

It looks like you're asking for the summation of factorials from x=1x = 1 to x=2x = 2. The expression can be interpreted as:

x=12x!\sum_{x=1}^{2} x!

This summation can be expanded as:

1!+2!1! + 2!

Let's calculate each factorial:

1!=11! = 1 2!=2×1=22! = 2 \times 1 = 2

Now, sum these values:

1+2=31 + 2 = 3

So, the value of x=12x!\sum_{x=1}^{2} x! is 33.

Would you like more details or have any other questions?

Here are some related questions:

  1. What is the definition of a factorial?
  2. How would the summation change for higher values of xx?
  3. What is the factorial of 0?
  4. How is factorial used in permutations and combinations?
  5. Can you find the sum x=13x!\sum_{x=1}^{3} x!?

Tip: The factorial of a number nn is the product of all positive integers less than or equal to nn.

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Math Problem Analysis

Mathematical Concepts

Factorials
Summation

Formulas

Factorial: n! = n \times (n-1) \times ... \times 1

Theorems

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Suitable Grade Level

High School