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- 10. Ten days before Valentine's Day, Jim plans to send his first love gifts. On the first day, he sent one love gift, on the second day he sent two love gifts, on the third day he sent three love gifts, and so on. a. How many gifts did Jim send on the tenth day? b. How many gifts in all did he send on the tenth day?1. A restaurant offers a combo meal. A combo comes with any one of 8 sandwiches, a side (there are 4 from which to choose, and a drink. There are 9 drinks you can select. How many combos are possible? b. How many combos are possible that have onion petals as a side? How many combos are possible that have either onion petals as a side or Fountain Dew to а. C. drink?At a music festival, there are seven bands scheduled to play, numbered 1 through 7. a. How many different ways can these bands be arranged to perform? b. If band 3 is performing first and band 1 last, then how many ways can their appearances be scheduled? a. There are different ways to arrange the bands. (Simplify your answer.) b. If band 3 is performing first and band 1 last, there are different ways to arrange the bands. (Simplify your answer.) Enter your answer in each of the answer boxes.
- Try to look for a playing card if available then observe. If not, you can read the description to be able to solve the word problems that will follow. Playing cards: A deck of playing cards has 52 cards: • Labels: with one lettered card ace (A), numbered cards (2-10), and face cards king(K), Queen(Q), Jack(J) • With 4 suits: diamond (•), clubs(4), spades(a) and hearts(♥) two colors: red cards and black cards POKER HANDS ROYAL FLUSH STRAIGHT FLUSH FOUR OF A KIND FULL HOUSE FLUSH STRAIGHT THREE OF A KIND TWO PAIRS ONE PAIR HIGH HAND Poker Hand: Playing with 5 playing cards in hand. • Royal flush-A royal flush is an ace high straight flush. For example, A-K-Q-J-10 all of diamonds. • Straight flush- A straight flush is a five-card straight, all in the same suit. For example, 7-6-5-4-3 all of spades. Four of a kind- Four of a kind, or quads, are four cards of equal value. For example, four jacks. • Full House- A full house contains a set (3) of cards of one value and a pair of another…Four cards labeled A, B, C, and D are randomly placed in four boxes labeled A, B, C, and D. A card is first placed in Box A, then a card is placed in Box B, then a card is placed in Box C, and lastly a card is placed in Box D. Each box receives exactly one card. A. How many card options are there for each box? B. In how many ways can the cards be placed in the boxes?7. A club has 10 seniors, 12 juniors, 8 sophomores, and 6 freshman. How many ways can the club choose a 6-person party-planning committee with exactly 4 juniors?
- 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?1. In how many ways can Vea, Lyka, Renz, and Cliff be seared in a row of four chairs if: a. They can occupy any place they wish? b. Lyka and Vea insist of sitting together? c. If Lyka, Cliff and Renz insist of sitting together? 2. In scrabble game, Helen has the following letters: A,S,B,E,B,G,F. a. How many different 7-letter words, meaningful and meaningless, can she make? b. How many 3-letter words can she make? 3. In how many ways can a volleyball coach select his starting six players from a roster of 15 players?7. Line up At the beginning of class, Charise's teacher makes a special offer. She will dismiss the class early if they can make all possible arrangements with the 15 students in the class in a single-file line. How many such arrangements are there? Should the class take the offer? Explain.