Answer as many as you can please!!

48. If a "word" is interpreted to be a sequence of letters, how many four-letter words with no repeated letters contain three vowels? (Note that y is not considered a vowel.) 47. A bag of 11 apples contains 4 rotten apples and 7 good apples. A shopper selects a sample of 3 apples from the bag. How many different samples are possible? 45. An experiment consists of tossing a coin thirteen times and the sequence of heads and tails is observed. How many of the possible outcomes contain three heads, with no two heads adjacent to each other? 42. An experiment consists of tossing a coin seven times and observing the sequence of heads and tails. How many different outcomes have at least 5 heads? 41. An experiment consists of tossing a coin twelve times and observing the sequence of heads and tails. How many outcomes are possible? 40. At a party, 10 handshakes took place. Each person shook hands exactly once with each of the others present. How many people were at the party? 39. How many 10-card hands are possible with a 26-card deck? 38. A club with 125 members is to choose three officers-president, vice-president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled? 37. An electronics store receives a shipment of 30 graphing calculators, including 7 that are defective. Four of the calculators are selected to be sent to a local high school 36. In how many different ways can a committee of 2 senators be selected from the 100 members of the U.S. Senate? 34. Evaluate the factorial expression. 13! 8! 33. Evaluate the given expression. 3! 32. Calculate the value. C(3,3)