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 γ10γ^10 × 1×2×3×4×……..× 10 Now, if γ10γ^1 = 1 zeroes γ10γ^2 = 2 zeroes γ10γ^3 = 3 zeroes Then, γ10γ^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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