Question
How many Zeros can be formed by multiplying
10×20×30×40×…………….× 100Solution
10 × 20 × 30 × 40 ×…………….× 100 10×1 × 10×2 × 10×3 × 10×4 × …………….× 10×10 (10)10 × 1 × 2 × 3 × 4 ×……..× 10 Now, if (10)1 = 1 zeroes (10)2 = 2 zeroes (10)3 = 3 zeroes Then, (10)10 = 10 zeroes ……………..(i) Now 1 × 2 × 3 × 4 ×……..× 10 10/5 = 2 zeroes ∴ Required number of Zeroes = 10 + 2 = 12 zeroes
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