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Consider all positive integers less than 100. Find the number of integers divisible by 3 or...

Consider all positive integers less than 100. Find the number of integers divisible by 3 or 5?

Consider strings formed from the 26 English letters. How many strings are there of length 5?

How many ways are there to arrange the letters `a',`b', `c', `d', and `e' such that `a' is not immediately followed by`e' (no repeats since it is an arrangement)?

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