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- 1. To disarm the bomb that lies before you and to save the world, you must carefully measure out 4 gallons of water (at least according to the movies). To your side are two jugs that hold 3 gallons and 5 gallons, respectively. There is a pool of water to fill the jugs nearby. By filling the jugs and by potentially intermixing and/or emptying the contents, how do you measure out four gallons?1. Suppose you work at a music store and have four CDs you wish to arrange from left to right on a display shelf. The four CDs are hip-hop, country, rock, and alternative (shorthand: H, C, R, A). How many options do you have? 2. If you have three friends to send text messages to, Taylor, Justin, and Aubrey, how many different ways can you text your friends if order matters? 3. let's say you have four friends but you need to text three of them when ordering matters. Find a number of ways to text your friends. 4. The art club has 4 members. They want to choose a group of three to compete in a regional competition. How many ways can three members be chosen?Can someone please explain it to me ASAP??!!!
- 1. Dr. Orchid has 9 paintings she wants to hang side by side on her wall. (a) In how many ways can she arrange all 9 paintings? Show your work. (b) If she only wants to display 4 of the paintings, in how many ways can she choose the paintings she wishes to display? Show your work.Sir, please solve this problem asap.No need any kind of broad explanation. Only providing the answer with a one or two line explanation will be enough. Thank you.8. Marites is a saleswoman planning her next business trip. She is thinking about packing 3 different pair of shoes, 5 skirts, 5 blouses, and 3 jackets. If all the items are color coordinated, how many different outfits will be able to make out of these items? (a) 16 (c) 150 (b) 90 (d) 225
- 3. In a house party 6 married couples are celebrating New Year's Eve. When the radio is playing Dancing Queen, each woman wants to dance with a man but not with her own husband. In how many ways can the women decide about their dancing partners?EVALUATE THE FOLLOWING: (combination) 1. C(5,5) 2. C(5,4) 3. C(5,1) 4. P(5,5) / C(5,5) 5. P(4,3) + C(4,2) 6. C(5,3) / C(5,2) 7. C(5,5) – C(4,4)1. i=1 Yı = 4; y2 = 8; y3 = 12; y4 = 15; y5 = 18 Evaluate: 2. i=2 x1 = 2; x2 = 4; x3 = 6; x4 = 8 Y1 = 1; y2 = 2; y3 = 3; y4 = 4 Evaluate
