(Q1] [20 points] You can leave answers unsimplified. 000 HTAM (A) How many lists of length 4 can be made from the letters A, B, C, D, E, F, G if repetition is allowed? (B) How many lists of length 4 can be made from the letters A, B, C, D, E, F, G if repetition is not allowed? (C) How many lists of length 4 can be made from the letters A, B, C, D, E, F, G if repetition is not allowed and the list must contain the letter B? (D) Suppose you need to choose 3 people from a group of 8 people to go on a trip to Hawaii. How many possibilities of different groups are there? DS (E) How many 5-card hands that can be dealt off of a 52-card deck, such that 4 cards are clubs and 1 card is not a club (Note: a standard deck of cards has 13 clubs, 13 spades, 13 diamonds, and 13 hearts.)? 01

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