You have 6 out of the total of 200 raffle tickets sold so you have a (\( \frac{6}{200} \)) x 100 = \( \frac{6 \times 100}{200} \) = \( \frac{600}{200} \) = 3% chance to win the raffle.

If 66% of the town's 41,000 voters cast ballots the number of votes cast is:

(\( \frac{66}{100} \)) x 41,000 = \( \frac{2,706,000}{100} \) = 27,060

The mayor got 67% of the votes cast which is:

(\( \frac{67}{100} \)) x 27,060 = \( \frac{1,813,020}{100} \) = 18,130 votes.

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:

\( \frac{4!}{2!} \)
\( \frac{4 \times 3 \times 2 \times 1}{2 \times 1} \)
\( \frac{4 \times 3}{1} \)
\( 4 \times 3 \)
12

The equation for this sequence is:

a_n = a_n-1 + 8

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 8
a₆ = 33 + 8
a₆ = 41

The factors of a number are all positive integers that divide evenly into the number. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.