You have 6 out of the total of 150 raffle tickets sold so you have a (\( \frac{6}{150} \)) x 100 = \( \frac{6 \times 100}{150} \) = \( \frac{600}{150} \) = 4% chance to win the raffle.

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

-4z⁷ x 5z⁶
(-4 x 5)z^{(7 + 6)}
-20z¹³

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{2}{5} \) x \( \frac{1}{5} \) = \( \frac{2 x 1}{5 x 5} \) = \( \frac{2}{25} \) = \(\frac{2}{25}\)

A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

\( \frac{5!}{4!} \)
\( \frac{5 \times 4 \times 3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{5}{1} \)
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