CAYLEY 2012 Problem 8

Past Contests CAYLEY CAYLEY - 2012
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1

The product \displaystyle\left(1-\frac13\right)\left(1-\frac14\right)\left(1-\frac15\right) is equal to

Answer Choices
A. \frac25
B. \frac{1}{60}
C. 1
D. 3
E. \frac{59}{60}