Five letters A, P, P, L and E are listed in a row. How many arrangements have at least one letter between the two Ps?
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11 × 13 × 17 × 19 × 23
A decrease of 1 in which of the factors above would result in the greatest decrease in the product?
The sum of the first 50 positive even integers is 2550. What is the sum of even integers from 102 to 200 inclusive?
If S is the sum of reciprocals of a list of consecutive integers from 45 to 54, inclusive, S is approximately equal to
How many integers between 324,700 and 458,600 have tens digit 1 and units digit 3?
In a certain learning experiment, each participant had three trials and was assigned, for each trial, a score of either -2, -1, 0, 1, or 2. The participant's final score consisted of the sum of the first trial score, 2 times the second trial score, and 3 times the third trial score. If Anne received scores of 1 and -1 for her first two trials, not necessarily in that order, which of the following could NOT be her final score?
The average of temperatures at noontime from Monday to Friday is 50; the lowest one is 45, what is the possible maximum range of the temperatures?
S is the set of all fractions defined by the formula n/(n + 1), where n is a positive integer less than 20. What is the product of all the fractions that are in S?