(a) In how many different ways can they all be the same suit? (b) In how many different ways can they all be face cards? (c) In how many different ways can you have exactly 2 cards of the same suit?

(a) Mrs. Ruiz has 15 boys and 12 girls in her class. In how many ways can she select a committee to organize a class party if the committee must contain 2 boys and 2 girls? (b) Lourdes, a girl, and Andy, a boy, always fight. How many ways can Mrs. Ruiz select the committee of part (a) if she does not want both Lourdes and Andy on the committee? Note that Lourdes can be on the committee, and Andy not on the committee, or vice versa.

How many ways can you be dealt two pairs in a hand of 5 cards

This problem will refer to a standard deck of cards. Each card in such a deck hasa rank and a suit. The 13 ranks, ordered from lowest to highest, are 2, 3, 4, 5, 6, 7, 8, 9, 10,jack, queen, king, and ace. The 4 suits are clubs (♣), diamonds (♢), hearts (♡), and spades (♠).Cards with clubs or spades are black, while cards with diamonds or hearts are red. The deckhas exactly one card for each rank–suit pair: 4 of diamonds, queen of spades, etc., for a total of13 · 4 = 52 cards. Take a look at the screenshot please!

Consider a 6 vs 6 youth soccer team (i.e., teams field 6 players at once) with 9 players. (a) How many different combinations of players can the team field? (b) If the team has exactly one goalie (who has to play), how many different combinations of players can the team field? (c) If the team has exactly two goalie (exactly one of which has to play and the other cannot), how many different combinations of players can the team field?

In another game at Bonehead Casino in Reno, the player draws one card from a standard deck. If it is a KK , then the player wins $100; an AA, QQ , then the player wins $35; an 88, 77, JJ, then the player wins $15; anything else, then the player loses. It costs $16 to play (for each play). Now, Melvin plays the game 1000 times, Rufus plays the game 50,000 times. Find the probability that (a) Melvin makes $100 or more. (b) Rufus makes $35,000 or more.

A math instructor has 46 calculators in her office. Of them, 22 have dead batteries, 28 have cracked displays, and 24 have missing buttons. Of those with dead batteries, 16 have cracked displays and 11 have missing buttons. Of those with cracked displays, 18 have missing buttons. There are 9 with dead batteries, cracked displays, and missing buttons. How many calculators does she have with nothing wrong with them? (A) 6 (В) 4 (C) 5 (D) 9 (E) 8 (F) 3 (G) 1 (H)

You and two friends decide to go to a casino and play Blackjack. You find an empty table and sit down. The dealer shuffles and deals from a new 52 card deck. In order to win, you and your friends know that you need to either score a 21 (blackjack and automatic win) or get a higher total than the dealer. You know that a deck of cards has 13 different cards (2-10, Jack, Queen, King, and Ace), and that there are 4 copies of each in the deck. You know that an ace is equal to either 1 or 11 and that Jacks, Queens, and Kings are worth 10. The dealer deals out the following cards: You: Jack and Ace Friend 1: King and 10 Friend 2: 10 and 10 Dealer: 10 and ? The dealer is about to deal their last card. What are the following probabilities: A) What is the probability that the next card can beat your hand?   B) What is the probability that the next card can tie your hand?   C) What is the probability that the next card can beat your friends?

2. Gabby has 4 pairs of pants, 7 shirts, and 3 pairs of shoes in his closet. In how many ways may he choose 2 pairs of pants, 3 shirts, and 1 pair of shoes from his closet to pack for a trip? (Hint. Use the combination rule for each object, then addition.)

A boy owns 10 pairs of pants, 5 shirts, 7 ties, and 8 jackets.(a) How many outfits can he wear to school if he must wear one of each item?   (b) How many outfits can he wear to school if he must wear pants, shirt and a jacket, but the tie is optional?    Submit QuestionQuestion 1