Question

# 1.How many possible orderings of letters ABCDEFG are there? 2.How many strings of length 4 can...

1.How many possible orderings of letters ABCDEFG are there?

2.How many strings of length 4 can be made using the letters ABCDEFG?

3.How many subsets of size 4 are there of the letters ABCDEFG.

4.How many possible strings are there of the letters "MATTER"?

5.Consider four books: an engineering book (E), a physics book (P), a history book (H), and an Art book (A).

Consider the following problem:

Suppose that the library has at least six copies of each of these books. In how many ways can we select six books?

Express this problem in terms of k-element selections on page 76 of the notes. What are the values of k and t?

6 .In rolling a fair die, what is the probability that a number less that 3 occurs?

7. Three microprocessors are randomly selected from a lot of 500 microprocessors among which 10 are defective. Find the probability of the event A of obtaining no defective microprocessors.

8. In an ordinary deck of 52 cards consisting of four suits, how many poker hands contain 4 cards of one denomination?

Really appreciate it if you could help me out ! Details needed.

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