Assume the cards are drawn sequentially and without replacement. In how many ways can 3 diamonds be drawn from a standard deck of 52 cards?

Q: How many arrangements are there of the letters of the word MATHEMATICS in which all the vowels…

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Q: In how many ways can a party of 5 persons arrange themselves in a row of 5 chairs?

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Q: Assume the cards are drawn sequentially and without replacement. (permutations) In how many ways…

A: Given data, given that 5 Spades can be drawn from a standard deck of 52 cards. The cards are drawn…

Q: In a standard deck of 52 cards how many ways are there to: a) Pick a face card and a ten?

A: We have to find in a standard deck of 52 cards how many ways are there to: a) Pick a face card and a…

Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 13 toppings from…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

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Q: For each of n = 0, 1, 2, 3, 4, how many 5-card hands from a 52-card deck contain exactly n queens?

A: To find- For each of n = 0, 1, 2, 3, 4, how many 5-card hands from a 52-card deck contain exactly n…

Q: A man is dealt a poker hand (5 cards) from an ordinary playing deck. In how many ways can be dealt a…

A: Given problem Given that   A man is dealt a poker hand ( 5 cards ) from an ordinary playing deck.…

Q: A race has 10 runners. In how many ways can the first three places be decided?

A: Here use combination

Q: In how many ways can a full house of 3 jacks and a pair of twos be obtained from an ordinary deck of…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: How many five-card hands (drawn from a standard deck) contain exactly two queens? (A five-card hand…

A: We have to find out given probability..

Q: In how many ways can a party of 7 persons arrange themselves in a row of 7 chairs?

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Q: Consider an alphabet that has 21 consonants and 5 vowels.  In how many ways can you make any…

A: This is from combinatorial.

Q: A committee of 5 students is to be selected from 16 students in a fraternity. a. In how many ways…

A: Given that a committee of 5 students is to be selected from 16 students in a fraternity. a We have…

Q: The number of permutation of n items is also called as _______________.

A: We have to fill the blank with the correct information -  The number of permutation of n items is…

Q: if a single card is drawn from a standard 52-card deck in how many ways could it be a heart or a…

A: The number of cards in deck is 52.

Q: In a standard deck of 52 cards and 4 suits, how many cards have to be picked to be sure that at…

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Q: From a standard deck of 52 cards, a hand of 7 is dealt. How many hands are possible that have: a.…

A: Selection or election or collection - all these imply combination. Let us suppose there are three…

Q: For a standard 52-card deck (with 13 cards of each suit), how many ways are their to choose a 5 card…

A: Total number of cards in a deck = 52                          Number of suits = 4   Number of cards…

Q: (a) In how many ways could you arrange eight books on a shelf? (b) Would it be feasible to list the…

A: We have to find corrcet answer...

Q: Suppose a 5-card hand is dealt from a standard deck of 52 cards. How many 5-card hands can be formed…

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Q: A softball league has eleven teams. If every te team once in the first round of league play, he…

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Q: In how many ways you can choose 8 of 32 playing cards not considering their order?

A: The combination of a number of objects is their arrangement without considering the order in which…

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

A: There are total 52 cards in a deck And among those 52 cards, 12 cards are face cards.

Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

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Q: Find the number of ways of getting at least a pair when randomly getting nine cards from a standard…

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Q: b.How many cards must be selected from a standard deck of 52 cards to guarantee that at least 5…

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Q: In how many ways can 8 books be choosen from a group of nine?

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Q: In how many ways can four aces be drawn from a deck of cards? (Order is not important.) | way(s)

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Q: How many three-digit numbers can be formed from the digits 1, 2, 3, 4, and 5 if repetitions(a) are…

A: To find number of three-digit numbers can be formed from the digits 1, 2, 3, 4 and 5. (a) If…

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: Find the number of different ways to draw a 5-card hand from a standard deck (four suits with 13…

A: Note: There are only two colors in the deck, so we will determine different ways to draw a 5-card…

Q: A coin is flipped 7 times in succession. In how many ways can at least four heads occur?

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: In Poker, how many ways are there to get a Straight Flush (5 cards of consecutive rank, same suit)…

A: Obtain the number of different poker hands that are flush as follows. A straight can begin with any…

Q: A tablet, a yo-yo, and a box of chocolates will be given to 3 randomly picked people out of 25 who…

A:

Q: Suppose you are asked to arrange 10 books in a shelf. Three of them are Mathematics, 4 are English…

A: Let us assume there are three women A, B and C sitting beside each other. The different ways in…

Q: Suppose that two letters are to be selected from A, B, C, D, and E and arranged in order. How many…

A: Given: Two letters are to be selected from A, B, C, D, and E and arranged in order. There are in…

Q: To play a particular card game, each player is dealt five cards from a standard deck of 52 cards.…

A: Permutations and combinations are used to select arrange a certain number of quantities from a group…

Q: The four players in a bridge game are each dealt 13 cards. How many ways are there to do this?

A:

Q: A shipment of 14 television sets includes three that are defective. In how many ways can a hotel…

A: As per our guidelines we suppose to do only one question1.GivenNo.of television =14No.of defective…

Q: how many pairs (two cards with the same face and three cards with all different faces) are possible…

A:

Q: If a single card is drawn from a standard​ 52-card deck, in how many ways can a card other than a…

A: Given data: A standard​ 52-card deck

Q: A hand consists of 4 cards dealt from an ordinary deck of 52 cards. How many hands are there…

A: Solution: The ordinary deck of 52 cards consist of four suits (hearts , diamond, spades, and club)…

Q: From a group of 18 customers, 4 are to be chosen to receive a special gift. Assuming that the order…

A: The number of groups of 4 customers can be chosen is,

Q: Five cards are selected out of 52. In how many different ways can this be done if: they contain at…

A: If ways of occurrence of 1st event is m  And ways of occurring of the second event is n  And if both…

Q: How many full houses ( one pair and on three of a kind) are possible in 5 card poker?

A: Here we want to all  in 5 houses possible cards.

Q: How many two pairs (two cards with the same face, two more cards with the same face, and another…

A:

Q: Two cards are drawn in succession and in without replacement from a set of 12 cards. How many sets…

A: Permutation:         The act of arranging the members of a set into an order or sequence, if it is…

Q: In how many ways can a large retail store select 3 sites on which to build a new store if it has 12…

A: We have to find given combination possible.

Q: One version of the card game poker involves dealing each player 5 cards from a standard deck of 52…

A: We use permutation formula here= n!/(n-r)! Here n=52 And r=5

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.