We are making 5-letter words from the set of letters a, b, c, d, e, f..., in such a way that we have exactly the first 5 letters available so that we use all letters. a. How many 5-letter words can we make from the letters without repeats that do not contain the sub- word "bad" in consecutive letters? a. How many words don't contain the subword "bad" in not-necessarily-consecutive letters (but in order)?

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