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Discrete Math Questions

Explore questions in the Discrete Math category that you can ask Spark.E!

A health product company is testing a new health supplement, whichcontains 4 different ingredients. Each ingredient has 3 differentquantity levels. To find the best formula, the company needs toperform a test on all possible level combinations of ingredients. Howmany tests should the company perform?

I write down 4 questions, and each is to be solved by one student.Assuming there are 30 students in the class,1. How many ways I can pick students to answer the questions?2. How many groups of students can I pick to solve them?

A French deck consists of 52 cards. 13 cards per suit, 4 suits:• Suits: Spades, Clubs, Hearts, and Diamonds.• Ranks: Ace, 2 to 10, Jack, Queen, King A2. How many ways are there 5 cards from the same suit (a flush)?

A sandwich store allows us to select 3 out of 10 sauces to put on asandwich. Suppose we try a different sauce combination every day.How many days does it take to try all possible sauce combinations?

There are 6 boys and 7 girls in a party. A photographer wants totake a picture of the party by arranging everyone in a row. The boysstand in decreasing order on height from left to right. The girls standin decreasing order on height from right to left.In how many ways can this be done? Assuming nobody in the samesex has the same height

A traveling salesman has to visit 10 different states in the US to sell his products. He starts from his home state Washington (WA) and then travels to the other states in any order he wishes. How many possible orders can the salesman use when visiting all the states?

Suppose we have 15 different books.How many ways can we distribute all these books to three peopleJim, Kate and Amy so that Jim receives 6 books, Kate receives 4books, and Amy receives 5 books?

We want to use 4 dividers to divide a row of 17 books. How manyways can we put the dividers? The dividers can be placed at thebeginning, the end, or together. (The books are already ordered.

Eight (8) people enter a Chinese restaurant, to be seated around atable of 8 seats. Assuming all seats are the same, how many waysthey can be seated? i.e. Only the relative positions of the diners matter.

The diagram below shows the keypad for an automatic teller machine. The same sequence of keys represents a variety of different PINs. For instance, 2133, AZDE and BQ3F are all keyed in exactly the same way.b) How many different PINs are represented by the same sequence of keys as 0800381381

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