Consider a standard 52-card deck. Find the total number of ways of drawing (i) four-of-a-kind (4 cards have the same denomination in a 5-card hand) (ii) a flush (all 5 cards have the same suit) (iii) a two-pair (2 cards with one denomination, another 2 cards with a different denomination, and a 5th card with a third denomination)

Q: If there are 57 cards in a deck and 12 are dealt to each student, how many 12 card possibilities are…

A: Combination Rule:The arrangement of r objects from n different objects is given by:

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A: Given 10 letter word is WOODWORKER

Q: Iow many different 5 card hands can be dealt from a deck of 52 cards? our answer is :

A: In the given question, concept of Combination is applied. Combination A combination is a…

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: In how many ways can a hand of 8 diamonds be chosen from an ordinary deck?

A: No.of diamond cards in deck = 13

Q: From a standard deck of cards, how many 10 card hands can be dealt that contain exactly 3 aces?

A: We have given information,  In a standard deck of cards, 10 card hands can be dealt.

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…

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

Q: How many arrangements of 9 little league players are possible if there are 20 kids who wish to play…

A: The objective of this question is to find out the number of possible arrangements of 9 players out…

Q: In how many ways can a hand of 4 diamonds be chosen from an ordinary deck?

A: The combination formula is given by

Q: In a poker game, a player is dealt a 9 card "hand" from a deck of 52 distinct cards. How many…

A: Total number of distinct cards are 52 Number of cards to be chosen are 9 Given the cards are…

Q: How many five-card hands contain exactly four jacks or exactly four black cards?

A: Total cards in a deck = 52 Total Jacks = 4 Total black cards = 26

Q: A game is played with a circular spinner that contains 8 different colors.  The design of the…

A: Here given that there are 8 different colors in a circular spinner No of ways spinner can be…

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A: The objective of the question is to find out the different combinations of games that could be…

Q: In a standard deck of cards, if the order in which cards are dealt is not important:  How many ways…

A: There are total of 52 cards in a standard deck of cards. From those, we have to pick 5 cards.

Q: The card game Cribbage uses a standard 52 card deck. Each player is dealt 4 cards, and the order…

A: The number of combinations of 4 card from the set of 52 cards is, n=C452=52×51×50×494×3×2×1=270725

Q: In a deck of 52 playing cards, how many 4-card hands are there that are made up of only red cards?

A:

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 4 card hands can be dealt from a deck of 52 cards? Your answer is :

A:

Q: The card game Cribbage uses a standard 52 card deck. Each player is dealt 4 cards, and the order…

A: Given that, The card game Cribbage uses a standard 52 card deck. Each player is dealt 4 cards Order…

Q: How many different ways are there of choosing four cards from a standard 52-card deck and arranging…

A:

Q: An engineer is putting together a train with 5 box cars, 3 tank cars, and 4 flat cars. For the box…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: From a standard​ 52-card deck, how many 6​-card hands consist entirely of face​ cards?

A: The standard deck of cards contains total 52 cards.

Q: How many 13-card bridge hands can be chosen from a deck of cards

A: Ans:-  How many 13-card bridge hands can be chosen from a deck of cards?

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…