JEE Main20258 Apr 2025Evening ShiftMathematicsBinomial TheoremActual

The product of the last two digits of (1919)¹⁹¹⁹ is

Correct answer

Step-by-step solution

aligned & (1919)¹⁹¹⁹=(1920-1)¹⁹¹⁹ & = ¹⁹¹⁹ C ₀(1920)¹⁹¹⁹- ¹⁹¹⁹ C ₁(1920)¹⁹¹⁸+ . & + ¹⁹¹⁹ C ₁₉₁₈(1920)^1- ¹⁹¹⁹ C ₁₉₁₉ & =100 +1919 1920-1 & =100 +3684480-1 & =100 + . .79 (last two digit) & Number having last two digit 79 & Product of last two digit 63 aligned

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