A lottery game requires that you pick 7 different numbers from 1 to 59. If you pick all 7 winning numbers, you win the jackpot. If you pick 6 of the 7 numbers corectly, you win $300,000. In how many ways can you pick exactly 6 of the 7 winning numbers without regard to order? There are ways to pick exactly 6 of the 7 winning numbers without regard to order.

Q: Assume that you have a 52-card deck at hand and you are planning to draw 6 cards from the deck. How…

A: We have,Number of cards in deck = 52Number of cards are planning to draw from deck = 6

Q: In a “Pick-4” game, a player wins a prize for matching a 4-digit number from 0000 to 9999 with the…

A: Given: A player wins a prize for matching a 4-digit number from 0000 to 9999 with the number…

Q: Four cards are dealt from a standard deck of 52 cards. How many ways can you be dealt two jacks and…

A: A standard deck contains 52 cards. Four cards have to select.

Q: Joe has 6 favorite baseball teams, and he put their flags on his flagpole in random order. How many…

A:

Q: There are 7 seniors on the high school soccer team. Two of them will be chosen to be co-captains.…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: How many different five-card hands can be formed with the 52 poker cards if we want 3 diamond cards…

A:

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 different 4 card hands can be dealt from a deck of 52 cards?

A:

Q: Joe has 6 favorite baseball teams, and he puts their flags on his flagpole in random order. How many…

A: Solution

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

A: Solution : Find the number of different ways to draw a 5-card hand from a standard deck  of cards to…

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: A student has 7 books on his deck. In how many different ways can he select a set of 3?

A: student has 7 books on his deck. No. of different ways to select set of 3 = ?

Q: 8 people stand in line at a movie theater. Into how many different orders can they be arranged? 40…

A: 1. Number of people standing in a line = 8 If the people are arranged in a line at a movie theater,…

Q: our cards are dealt from a standard deck of 52 cards. How many ways can you be dealt three aces and…

A: Four cards are dealt from a standard deck of 52 cards. There are 4 cards of aces in the deck. There…

Q: Suppose you choose 9 cards from a standard 52-card deck (with 13 hearts, 13 spades, 13 clubs and 13…

A: A standard 52-card deck contains 13 hearts, 13 spades, 13 clubs and 13 diamonds and probability of…

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: Your friend wants to perform a magic trick and asks you to draw 2 cars from a standard deck of 52.…

A: There are 52 cards in a standard deckIf you choose randomly two cards in a deck, place the first…

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: Casino has a new game that uses 10 identical decks of cards mixed into 1 megadeck. How many 10 card…

A: A deck consists of 52 cards. Total cards in 1 megadeck that uses 10 identical decks of…

Q: Chandler is a magician performing at a birthday party. Chandler first performs one of 3 card tricks,…

A:

Q: Assume that you have a 52-card deck at hand and you are planning to draw 5 cards from the deck. How…

A: The number of cards in the deck is 52.The number of cards to be drawn is 5.In order to obtain a…

Q: how many hands of 33 cards can be made, where all cards are of the same suit?

A:

Q: Suppose you visit a small, local panadería and decide to pick up some pasteries. The panadería has a…

A:

Q: At a birthday party 47 guests are in attendance and 6 of them are randomly chosen to each receive a…

A:

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

A:

Q: Ms. Rhea gets 13 different diamond cards from a deck of cards.  In how many ways can these thirteen…

A: Introduction: There are 7 people who pick cards- Sharon (S), Eisha (E), Julieth (J), Allysa (A),…

Q: For a Halloween party, each guest can choose from the 6 different kinds of candy to have in a prize…

A: Given,no.of different kinds of candy=8

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.