Permutations and Combinations 8. Indicate if the following are permutation or combination problems and determine the number of possibilities. a) How many outcomes are there in a lottery if 6 numbers are picked out of 24 possible ones and the order of the numbers does not matter ? b) How many different ways are there to form (potentially nonsensical) 4-letter words out of 26 scrabble pieces, each of which contains a different letter of the alphabet ? c) How many distinct character sequences (they don't have to make sense) can be formed by rearranging the letters in the word “structures” ? d) If you flip a coin 8 times, how many possible outcomes are there if the order does not matter ? e) How many different (potentially nonsensical) words with less than 5 letters can be formed using the english alphabet (26 letters) ? f) How many different 4 people groups that contain at least one woman can be formed in a class with 15 men and 10 women ?
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