Counting A card game requires that 4 cards are drawn from a 52 card deck where 4 cards are drawn. Note: Aces are not considered Number Cards or Face Cards. How many ways are there to draw a hand where all 4 cards are spades? How many ways are there to draw a hand where all 4 cards are number cards? How many ways are there to draw a hand where 2 cards are black cards, and 2 cards are red cards? How many ways are there to draw a hand where 2 cards are number cards, and 2 cards are face cards?

Q: In how many ways can you 9 players be choosen from a team with 14 members?

A: Given:Total number of members in the team, n = 14.Number of players to be selected, r = 9.

Q: There are 52 cards in a standard deck. Thirteen of those cards are spades. The deck is shuffled and…

A: Given that there are 13 spades.  We have to select 3 spades from the 13 spades.    Since the order…

Q: Example: A box contains six green balls, five red balls, and eight yellow balls. How many ways are…

A:

Q: 5 cards are dealt from a standard deck of​ cards, how many different ways can three hearts and two…

A: Let 5 cards are dealt from a standard deck of​ cards. A standard deck of cards has 52 cards, out of…

Q: How many ways are there to arrange the letters in the phrase REPEATED? If you have three shades of…

A: How many ways are there to arrange the letters in the phrase REPEATED? The word "REPEATED" has 8…

Q: How many possible combinations are there if there are 6 players and each player can either have 2…

A: We have given, Total number of players are n=6. And each player have 2 possible outcomes i.e. r=2.

Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A: Solution-: This exercise refers to a standard deck of playing cards. Assume that 5 cards are…

Q: An employee group requires 6 people be chosen for a committee from a group of 16 employees. The…

A: As per guideline expert have to answer first question only dear student please upload other question…

Q: If a 8 card hand is dealt from an ordinary 52 card deck, in how many of those hands are all 8 cards…

A:

Q: A deck of cards has 4 gray, 3 blue, 5 white, and 6 green cards. You pick 2 cards from the deck.…

A: There are 4 gray, 3 blue, 5 white, and 6 green cards.

Q: How many Full Houses are possible using a standard deck of 52 playing cards with no Jokers?

A: There are total 52 cards in standard deck. Total 4 suits in deck of cards And each suit have 13 rank…

Q: A deck of card contains 7 red, 5 black, 8 orange, and 9 white cards. How many different 4-card…

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Q: A person is playing a card game in which they receive 3 cards from a dealer. If the order doesn't…

A: The answer is given as follows :

Q: How many ways are there to deal a hand of 4 cards if you dont care about the order of cards in your…

A: In a standard deck of cards, there are total 52 cards.

Q: In how many ways can a hand of 6 diamonds be chosen from an ordinary deck? A hand of 6 diamonds can…

A:

Q: How many different hands of 5 cards from the deck of 52 are there? 2) An office building contains 27…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: how many five card poker hands consist of a four of a kind?

A: In a standard deck of cards, there are 52 cards in total out of which there are 13 different…

Q: A card deck consists of 9 fire Pokemons and 11 ice Pokemons. How many ways can 7 cards be chosen…

A: The objective of the question is to find the number of ways to choose 7 cards from a deck of 20…

Q: The following question involvesa tandard deck of 52 playing cards. In such a deck of cards there are…

A: Given, You draw two cards from a standard deck of 52 cards without replacing the first one before…

Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A: Given information- This exercise refers to a standard deck of playing cards. Assume that 5 cards are…

Q: Using a standard deck of 52​ cards, how many 4​-card hands contain all heart

A: using stanadard deck of 52 cards ,total outcomes:n=52 cards we have to find out  that 4 card hands…

Q: Assume that a gambler playing keno has randomly chosen 4 numbers. In how many ways can the gambler…

A: Approach to solving the question:A popular gambling game called keno, first introduced in China over…

Q: A poker game requires players to draw a card and roll a die. The combination of card and die will…

A: Let there be x types of item A and y types of item B . Then, the number of different combinations of…

Q: A card game uses a special deck where each card has a number and a color. The numbers range from 1…

A: There are numbers range from 1 to 12. So total of 12 numbers. The colors are red, orange, yellow,…

Q: Suppose that your friend owns 9 PlayStation games and you would like to borrow 4 of these games. In…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: How many five-card hands have exactly two Queens?

A: The total cards in a deck = 52 Total queens = 4 There will be two of the four queens, and three…

Q: how many ways can a hand of 7 spades be chosen from an ordinary deck?

A: Given that  Ordinary deck of cards Number of ways of can a hand of 7 spades be chosen from ordinary…

Q: A 5-card hand is dealt from a well-shuffled deck of 52 cards. How many ways are there to get a hand…

A: GivenThe number of cards in one deck of cards =52The number of cards in a hand =5 The number of…

Q: How many different 5 card hands have three of a kind (3 cards if one kind, 1 card of a second kind,…

A: Introduction: The total number of ways in which a 5-card hand can be dealt from the standard 52-card…

Q: A standard 5- card poker hand is drawn simultaneously from a deck of 52 cards. You draw a “flush” if…

A: Given: A standard 5- card poker hand is drawn simultaneously from a deck of 52 cards. You draw a…

Q: A standard card deck has 52 cards. How many thirteen-card hands are standard deck? possible from a

A: The objective of this question is to find out the number of possible thirteen-card hands from a…

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

A: The combination formula is given by:

Q: Jerry draws a card from a standard 52-card deck with replacement. How many attempts are expected for…

A: Given, Total 52 Cards in a deck

Q: many ways can you draw either a queen or a black card from a deck of 52 cards?

A: We have to find how many ways can we can  draw either a queen or a black card from a deck of 52…