2024 JPJC P2 Q6

The individual letters of the word APPROPRIATE are printed on identical cards and arranged in a straight line.

1. Find the number of arrangements of all \({11}\) letters of the word such that
   1. the letters are not in alphabetical order,[2]
   2. all the vowels are together and only two of the P’s are together.[3]
2. The cards are now placed in a bag and \({3}\) cards are drawn without replacement. Find the probability that there are at least two vowels drawn.[2]