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A single die is rolled. Find the probability of rolling: an odd number or a number less than 4 .

Find the term indicated in each expansion. \((2 x+y)^{6} ;\) third term

You are dealt one card from a 52 -card deck. Find the probability that you are dealt: a 5 or a black card.

Write a formula for the general term (the nth term) of each arithmetic sequence. Do not use a recursion formula. Then use the formula for \(a_{n}\) to find \(a_{20}\), the 20 th term of the sequence. Find the sum of the odd integers between 30 and 54.

Describe the pattern on the exponents on \(b\) in the expansion of \((a+b)^{n}\).

What is Pascal's triangle? How do you find the numbers in any row of the triangle?

Explain how to use the Binomial Theorem to expand a binomial. Provide an example with your explanation.

Write an original problem that can be solved using the Fundamental Counting Principle. Then solve the problem.

Are there situations in which it is easier to use Pascal's triangle than binomial coefficients? Describe these situations.

A section in a stadium has 20 seats in the first row, 23 seats in the second row, increasing by 3 seats per row for a total of 38 rows How many seats are in this section of the stadium?