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On a business trip, Terry took 3 pairs of pants, 4 shirts, 1 jacket, and two pairs of shoes. Determine the number of outfits that Terry can choose.

Write the first five terms of each sequence. $$a_{n}=4 n+10$$

Write a sample space with equally likely outcomes for each experiment Three ordinary coins are tossed.?

In how many different ways can 4 different boys be selected from a group of 25 boys on a track team to receive 4 different awards?

Write the first five terms of each sequence. $$a_{n}=\frac{n^{3}+27}{n+3}$$

Evaluate expression. \(C(4,2)\)

Work each problemDrawing a Card A card is drawn at random from a standard deck of 52 cards. Find the probabilities in parts (a)-(d). (a) The card is a spade. (b) The card is not a spade. (c) The card is a spade or a heart. (d) The card is a spade or a face card. (e) What are the odds in favor of drawing a spade?

Decide whether each sequence is finite or infinite. $$-1,-2,-3,-4,-5, \dots$$

Use the formula for \(S_{n}\) to find the sum of the first five terms of each geometric sequence. In Exercises 25 and 26, round to the nearest hundredth. See Example 5. $$a_{1}=8.423, r=2.859$$

Decide whether the situation described involves a permutation or a combination of objects. (a) a telephone number (b) a Social Security number (c) a hand of cards in poker (d) a committee of politicians (e) the "combination" on a padlock (f) an automobile license plate (g) a lottery choice of six numbers where order does not matter