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

Question

Accepted Answer

Correct answer: 63. (63) (1919 )^1919= (1920-1 )^1919 = ^1919C_0 (1920 )^1919- ^1919C_1 (1920 )^1918+ … + ^1919C_1918 (1920 )^1- ^1919C_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

$The product of the last two digits of (1919)^{1919} is$

Solution

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