A lottery game requires that you pick 7 different numbers from 1 to 77. If you pick all 7 winning numbers, you win the jackpot. If you pick 6 of the 7 numbers correctly, 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: 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: How many permutations of three items can be selected from a group of six? Use the letters A, B, C,…

A: There are total three item have to select from a group of six

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

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

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Q: A volleyball team has ten players. To play a game, 6 players are needed to play positions numbered…

A: No. of players in the volleyball teamNo. of players needed to playThe positions are numbered from…

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Q: An ice cream store sells 25 flavors of ice cream. Determine the number of possible 7-dip sundaes.…

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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: deck of cards has 2 black, 5 green, and 6 blue cards. You pick 2 cards from the deck. Cards are…

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Q: How many ways can three people be selected from a group of seven people if order DOES matter

A: Given that, Total number of peoples = 7

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

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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: The model of the car you are thinking of buying is available in three different colors and two…

A: Lets understand it very basic way. Lets say 3 different colors be R, B, G and  two different styles…

Q: Five people come to a party and shake hands with each other. If each person shakes the hand of every…

A: Five people come to a party and shake hands with each other. If each person shakes the hand of every…

Q: The model of the car you are thinking of buying is available in seven different colors and four…

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

A: Solution

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: Find the general solution for X' = AX where A is given by 0 0 1 (a) 0 1 0 10

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Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A: The objective of this question is to determine the number of ways a committee of five persons can be…

Q: You are teaching a math class, and have seventeen students who are so hard-working and invested, you…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

Q: You have 7 adult emus and 6 juvenile emus. How many ways are there to choose a group of emus so…

A: no.of adult emus=7no.of juveniles emus=6

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

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

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Q: A class has 30 students. For a school event, 15 students need to be chosen from this class. 5 of the…

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

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

A: The combination formula is given by: