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| For The Mathematically Inclined |
Anil Saigal
10/22/2015
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?
Problem 2
Find the smallest positive integer such that when its last digit is moved to the start of the number (example: 1234 becomes 4123) the resulting number is larger than and is an integral multiple of the original number. Numbers are written in standard decimal notation, with no leading zeroes.
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Problem #1
How can you add eight 8's to get the number 1,000?
8 + 8 + 8 + 88 + 888.
Problem #2
1.
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