When you have factorials in the numerator and denominator of a fraction, you can cancel out the common factors between them. It can help to write the problems in expanded form.

The entire denominator 13 will be cancelled out leaving only

Evaluate by expanding the terms of the factorials.

Cancel out the common terms in the first fraction.

Change the division sign to a multiplication and take the reciprocal of the second quantity.

The answer is:

When you have factorials in the numerator and denominator of a fraction, you can cancel out the common factors between them. It can help to write the problems in expanded form.

The entire denominator 13 will be cancelled out leaving only

The factorial sign (!) just tells us to multiply that number by every integer that leads up to it. So, can also be written as:

To make this easier for ourselves, we can cancel out the numbers that appear on both the top and bottom:

Simplifying this equation we notice that the 3's, 2's, and 1's cancel so

Alternative Solution

! is the symbol for factorial, which means the product of the whole numbers less than the given number.

Thus, .

The factorial sign (!) just tells us to multiply that number by every integer that leads up to it. So, can also be written as:

To make this easier for ourselves, we can cancel out the numbers that appear on both the top and bottom:

Simplifying this equation we notice that the 3's, 2's, and 1's cancel so

Alternative Solution

Evaluate by expanding the terms of the factorials.

Cancel out the common terms in the first fraction.

Change the division sign to a multiplication and take the reciprocal of the second quantity.

The answer is:

! is the symbol for factorial, which means the product of the whole numbers less than the given number.

Thus, .