Multiplying and Dividing Factorials - Math

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

Alternative Solution

This expression can be simplified because all terms in the expression for 8! are also found in the expression for 10!. By writing the expression below, we are able to cancel 8!.

The cancels out all of except for the parts higher than 4, this leaves a 6 and a 5 left to multilpy

Both the numerator and denominator are factorials. If you expanded both, everything would cancel out except for in the numerator. Multiply those together to get 720.

Thus, since the remaining terms cancel out. 56 is the simplified result.

Remember a number followed by a ! is a factorial. A factorial is the product of the given number and all of the numbers smaller than it down to zero. For example, .

Rather than do all of the math involved for , notice that is the same as

From here, the 's cancel out, leaving us with .

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

Alternative Solution

This expression can be simplified because all terms in the expression for 8! are also found in the expression for 10!. By writing the expression below, we are able to cancel 8!.

This is a factorial question. The formula for factorials is .

The cancels out all of except for the parts higher than 4, this leaves a 6 and a 5 left to multilpy

Both the numerator and denominator are factorials. If you expanded both, everything would cancel out except for in the numerator. Multiply those together to get 720.

Thus, since the remaining terms cancel out. 56 is the simplified result.

Remember a number followed by a ! is a factorial. A factorial is the product of the given number and all of the numbers smaller than it down to zero. For example, .

Rather than do all of the math involved for , notice that is the same as

From here, the 's cancel out, leaving us with .

This is a factorial question. The formula for factorials is .

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

Alternative Solution

This expression can be simplified because all terms in the expression for 8! are also found in the expression for 10!. By writing the expression below, we are able to cancel 8!.

The cancels out all of except for the parts higher than 4, this leaves a 6 and a 5 left to multilpy

Both the numerator and denominator are factorials. If you expanded both, everything would cancel out except for in the numerator. Multiply those together to get 720.

Thus, since the remaining terms cancel out. 56 is the simplified result.