1.) How many permutations can be formed from all of the letters of the word HOUSTON?
2.) A fair coin is flipped 10 times and the sequence of heads and tails is noted. In how many outcomes are there at least 2 tails?
3.) A coin is tossed 24 times. In how many outcomes do exactly 18 heads occur? In how many outcomes are at least 4 tails occur?
4.) An electronics store receives a shipment of 35 graphing calculators including 7 that are defective. Eight calculators are chosen at random to be sent to a local high school. How many total selections can be made? How many selections contain 3 defective?
5.) If seven cards are chosen from a well-shuffled deck of 52 playing cards. In how many selections do 2 diamonds occur?