Minus One Makes A Difference

Probability Level 2

(7111)(7121)(7131)(71421)(71431)\left( \frac { 71 }{ 1 } -1 \right) \left( \frac { 71 }{ 2 } -1 \right) \left( \frac { 71 }{ 3 } -1 \right) \cdots \left( \frac { 71 }{ 42 } -1 \right) \left( \frac { 71 }{ 43 } -1 \right)

Which of the following is equal to the above value?

Notation: (MN) \binom MN denotes the binomial coefficient, (MN)=M!N!(MN)! \binom MN = \frac{M!}{N!(M-N)!} .

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