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Magazine Problem 28
Use the binomial theorem to expand each binomial. $$ (p-q)^{4} $$
Problem 29
Write the first five terms of each geometric sequence. $$ a_{1}=2, r=3 $$
Problem 33
Use combinations to solve each problem. How many different 5 -card poker hands can be dealt from a deck of 52 playing cards?
Problem 33
Write the first five terms of each geometric sequence. $$ a_{1}=-4, r=0.5 $$
Problem 34
Use the binomial theorem to expand each binomial. $$ \left(y^{3}+2\right)^{4} $$
Problem 34
Write the first five terms of each geometric sequence. $$ a_{1}=-40, r=0.25 $$
Problem 35
Give answers to the nearest thousandth. $$ a_{1}=-3, r=4 ; \quad \text { Find } S_{10}$$
Problem 36
Use combinations to solve each problem. If a bag of 18 marbles contains 5 purple, 4 green, and 9 black marbles, how many samples of 3 can be drawn in which all the marbles are black? How many samples of 3 can be drawn in which exactly 2 marbles are black?
Problem 37
Give answers to the nearest thousandth. $$ \frac{1}{3}, \frac{1}{9}, \frac{1}{27}, \frac{1}{81}, \frac{1}{243} $$
Problem 38
Use combinations to solve each problem. In a carton of 2 dozen light bulbs, 5 are defective. How many samples of 4 can be drawn in which all are defective? How many samples of 4 can be drawn in which there are 2 good bulbs and 2 defective bulbs?
