Permutation show all ur answers

1. Determine the number of four-letter arrangements using the letters of the word PANDEMIC. The 4-letter arrangements do not have to be actual English words. [2] 2. Determine the number of ways the 7 members of the school choir stand in a line if Vernon must be on the far left, Erica is in the middle and Sheila must be on the far right. [3] 3. Diana attends a fund-raising banquet that sells tickets offering a gate prize to two attendees. Each ticket has a 3-digit number with each digit from 1 to 9. Assuming that all the tickets have been sold, determine the probability of Diana winning the draw. [3] 6. If you draw 3 cards from a standard deck without replacement, what is the probability of selecting a diamond card, then a club then another diamond. NB: Show your work using permutations. Express your answer to 3 decimal places. [3]