Question

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.

Answer 1

No. posd 7P Rattus A B e DE FG = 7! = 71 = 5040 No o lings 4 an ABCDEFG make wsna eltens 71 31 7RA 2 7K6x5x4 De 4 utsuls No 7 1e A A 31 - 35 Ahings No. MATTER taad letters 21 09ニ 4 botks Each lihang こイx6 =24 books .No 1 Adlerl 6oples 24 e6 an uem the 24 toces

A air Ri rollas PCnter less han 3 8ceme nead L6 find Fo ON Faveualle ouleomus n 2e Ra otali e n -- 6c. - 0.33 uren meplons o/s00 O02 No of datire eetns 3 eleetud meroho (30.02) 人へ Bun 3- 92,3 3 O.02 4() P0) 3 098 3 0.02 014I2 danoninatons N 13 52 difderent auls No. o honds tonlan : 13 4 cands of same denomante