8. Each of the 7 letters in the word DIVIDED is printed on a separate card. The cards are arranged in a row.
- How many different arrangements of the letters are possible?
- In how many of these arrangements are all three Ds together?
The 7 cards are now shuffled and 2 cards are selected at random, without replacement.
- Find the probability that at least one of these 2 cards has D printed on it.
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