How many different lottery tickets are possible?

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:

Q: An appetizer platter has a selection of 88 different appetizers. Mario plans to choose 3.3. How…

A: Number  of different appetizers = 88Mario plans to choose = 3

Q: How many different 4 card hands can be dealt from a deck of 52 cards? The order of the cards does…

A:

Q: There are 91 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: The first can be picked in 91 ways  Second in 90 ways  Third in 89 ways

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: Ms. Ling has 16 boys and 14 girls in her third-grade class. How many ways can she select 2 boys or 2…

A: Ms. Ling has 16 boys and 14 girls in her third-grade class. We want to find how many ways can she…

Q: Nine students are to be seated in a row of chairs. How many arrangements are possible if 3 students…

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

A:

Q: There are 46 runners in this year's school 5k race. The school has purchased 10 awards to give out…

A: Given, There are 46 runners in this year's school 5k race. The school has purchased 10 awards to…

Q: There are 75 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: Solution: From the given information, there are 75 golfers. Suppose there are n objects are arranged…

Q: There are 13 different bags of candy for a party. Susan randomly selects 7 bags. How many different…

A: There are 13 different bags of candy for a party. Susan randomly selects 7 bags. How many different…

Q: The math club needs to select a president, Vice President, treasurer and secretary from 21 members.…

A: There are 21 members and we have to select President, Vice President, Treasurer and Secretary. We…

Q: There are 8 people at an office meeting. How many handshake

A: Formula: If there are n persons, The number of handshakes is, nn-12

Q: From a standard​ 52-card deck, how many 7​-card hands consist of 5 clubs and 2 diamonds​?

A: There are total 13 clubs and 13 diamonds.  We can pick 5 clubs from 13 clubs in 13C5 ways. We can…

Q: You choose how many numbers you will pick. You can pick anywhere from 1 to 10 different numbers.…

A: Answer : The expected value = 2.250

Q: How many different arrangements of the letters in the word "number" can be made?

A:

Q: In a lottery game, a player picks 9 numbers from 1 to 40. How many different choices does the player…

A: pick 9 numbers from 1 to 40. order doesn't matter. no. of ways to choose = ?

Q: race with 28 entries awards prizes to the three fastest (first through third place). How many…

A: Number of prizes = 3

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

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Q: Jonathan likes to randomly mix-and-match the colors of the shirts and pants he wears to school. His…

A: The objective of this question is to find the total number of possible combinations of shirt and…

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: You have 6 books on a shelf. How many ways could you reorder them? (Enter your answer as a whole…

A: The permutation formula is given by

Q: There are 29 students in a homeroom. How many different ways can they be chosen to be elected…

A: Given,Total no.of students=29

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: Ten jokes are listed in a magazine.   If the fourth joke from the magazine is​ excluded, in how…

A: There are 10 jokes listed in a magazine.Here 4th joke is excluded than find the number of ways…

Q: License plates in a certain state start with 3 letters (but they don’t use I or W) and then 3…

A:

Q: A DJ is preparing a playlist of 21 songs. How many different ways can the DJ arrange the firstsix…

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Q: List all possible combinations of pennies, nickels, dimes and quarters that have a total value of…

A:

Q: Determine P(even and multiple of 3) from a list of numbers 1 through 30

A: It is given that  There is  list of numbers 1 through 30 i.e. S={1,2,3,....,30} i.e. n(S) =30 Let us…

Q: A DJ is preparing a playlist of 20 songs. How many different ways can the DJ arrange the first four…

A: Given,total no.of songs=20

Q: A survey asked 1,000 people if they invested in Stocks or Bonds for retirement. 700 said they…

A: From given : Total surveyed = 1000 Invested in stocks only = 700 - 300 (invested in both) = 400…

Q: Find the number of different ways the letters of the word BALLOON can be arranged?

A:

Q: Determine the number of arrangements of all the letters in the word SUCCESS.

A: We have to determine the number of arrangements of all the letters in the word SUCCESS. Here, total…

Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…