Question

uestion 9: The remainder when the number (2 × 3 × 4 × 2007 × 2008 × 2009) – 2008 is divided by 2009

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

First determine the REMAINDER of (2×3×4×2007×2008 ×2009)=REM (mod 2009)

Since the Product (2×3×4 •••) contains 2009 as a multiple, therefore intuitively, the REMAINDER is zero.

Now the question reduces to

2008 (mod 2009)=REM?

REM = -1 (mod 2009 )

Therefore the REMAINDER is 1