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| For The Mathematically Inclined |
Anil Saigal
11/05/2015
Problem 1
In how many ways can 50! be expressed as a sum of two or more consecutive positive integers?
Problem 2
The minute hand of a clock is twice as long as the hour hand. At what time, between 00:00 and when the hands are next aligned (just after 01:05), is the distance between the tips of the hands increasing at its greatest rate?
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Last Set of Problems
Problem #1
An urn contains a number of colored balls, with equal numbers of each color. Adding 20 balls of a new color to the urn would not change the probability of drawing (without replacement) two balls of the same color.How many balls are in the urn?
210.
Problem #2
102,564.
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