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If you solve the first three terms, you will quickly realize a pattern:

2⁄1 × 3⁄2 × 4⁄3 × 5⁄4 … … × 47⁄48 × 48⁄49 × 49⁄50

= (2 × 3 × 4 × 5 … … × 48 × 49 × 50) / (1 × 2 × 3 × 4 … … × 47 × 48 × 49)

= 50

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