Question
How many Zeros can be formed by multiplying
10×20×30×40×…………….× 1000Solution
10×20×30×40×…………….× 1000 10×1 × 10×2 × 10×3 × 10×4 × …………….× 10×100 10100 × 1×2×3×4×……..× 100 Now, if 101 = 1 zeroes 102 = 2 zeroes 103 = 3 zeroes Then, 10100 = 100 zeroes ……………..(i) Now 1×2×3×4×……..× 100 100/5 = 20 20/5 = 4 =(20+4) = 24 zeroes ∴ Required number of Zeroes = 100+ 24 = 124
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