Multiplying and Dividing Factorials - High School Math
Card 0 of 7
Stewie has 
marbles in a bag. How many marbles does Stewie have?
Stewie has
Simplifying this equation we notice that the 3's, 2's, and 1's cancel so
Alternative Solution
Simplifying this equation we notice that the 3's, 2's, and 1's cancel so
Alternative Solution
Compare your answer with the correct one above
Solve the following expression.
Solve the following expression.
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 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!.
Compare your answer with the correct one above
Which of the following is equivalent to 
?
Which of the following is equivalent to
This is a factorial question. The formula for factorials is 
.
This is a factorial question. The formula for factorials is
Compare your answer with the correct one above
Which of the following is NOT the same as 
?
Which of the following is NOT the same as
The 
cancels out all of 
except for the parts higher than 4, this leaves a 6 and a 5 left to multilpy 
The
Compare your answer with the correct one above
Solve:
Solve:
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.
Both the numerator and denominator are factorials. If you expanded both, everything would cancel out except for
Compare your answer with the correct one above
Simplify 
.
Simplify
Thus, 
since the remaining terms cancel out. 56 is the simplified result.
Thus,
Compare your answer with the correct one above
Simplify and solve 
.
Simplify and solve
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 
.
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
From here, the
Compare your answer with the correct one above