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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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