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KCET2009MathematicsBinomial Theorem

The digit in the unit place of the number 2009 !+3⁷⁸⁸⁶ is

Options

  1. A7
  2. B3
  3. C1
  4. D9

Correct answer

D. 9

Step-by-step solution

The digit in the unit place of (2009)! is 0 . Now, 3¹=3, 3²=9, 3³=27, 3⁴=81 , 3⁵=243 3⁷⁸⁸⁶= (3⁴ )¹⁹⁷¹ 3² The digit in the unit place of 3⁷⁸⁸⁶ is 9 . The digit in the unit place of (2009)! +3⁷⁸⁸⁶ is 9 .

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