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    Question

    data-sheets-userformat="{">Find the number of zeroes in the product of 20 × 21 × 22 × ........ × 40?
    A 2 Correct Answer Incorrect Answer
    B 3 Correct Answer Incorrect Answer
    C 6 Correct Answer Incorrect Answer
    D 5 Correct Answer Incorrect Answer

    Solution

    Alternate Method :
    Product = 20 × 21 × 22 × ........ × 40 .
    So we can find number of zeroes in 40! then we can subtract number of zeroes in 19! .
    So 40/5 = 8 and 8/5 = 1 and adding all quoitent, number of zeroes = 8+1= 9;
    19/5 = 3, so number of zeroes in 19! = 3.
    So number of zeroes in the given product = 20 × 21 × 22 × ........ × 40 = 9 - 3 = 6.

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