Answer as many as possible please!!
1. If a "word" is interpreted to be a sequence of letters, how many five-letter words with no repeated letters contain three vowels? (Note that y is not considered a vowel.) 2. How many 7-letter code symbols can be formed from the letters from the word CHARGES without repetition? 3.An experiment consists of tossing a coin nine times and observing the sequence of heads and tails. Complete parts (a) and (b). a). How many different outcomes have at least five heads? b). How many different outcomes have at most four heads? 4.n a certain country, area codes have six digits and are subject to the following restrictions. The first digit cannot be 0, 1, 2, or 3; the second digit can only be 0, 1, or 2; and there are no restrictions on the Remaining digits. How many different area codes are possible? a). Total number of area codes = (do not multiply) b). The number of possible area codes is 5. A survey of magazine subscribers placed 62 celebrities in 3 categories. 36 were on the most powerful list 30 were on the most liked list 19 were on the most intelligent list. 2 were on all three lists. 15 were on the most powerful and most liked lists. 9 were on the most powerful and most intelligent lists. 6 were on the most liked most intelligent lists. How many were only on the most liked list? How many were on none of the lists? a). were only on the most liked b). were on none of the lists. 7. A merchant surveyed 410 people to determine the way they learned about an upcoming sale. The survey showed that 200 learned about the sale from the radio, 180 from television, 170 from the newspaper, 90 from radio and television, 80 from radio and newspapers,80 from television and newspapers, and 50 from all three sources. How many people learned of the sale from radio or television but not the newspaper? 8. An electronics store receives a shipment of 30 graphing calculators, including 5 that are defective. Four of the calculators are selected to be sent to a local high school. a). How many selections can be made using the original shipment? B. How many of these selections will contain no defective calculators? 11. In how many different ways can a committee of 5 senators be selected from the 100 members of the U.S. Senate? 12. In an eight-team football conference, each team plays every other team exactly once. How many games must be played? a). Write an expression that can be used to find the number of games that must be played b). The number of games is 13. At a party, 105 handshakes took place. Each person shook hands exactly once with each of the others present. How many people were at the party? 14. Toss a coin six times and observe the sequence of heads or tails that results. How many different sequences are possible
