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The remainder when $6^{n} - 5^{n}$ is divided by $25$ , is

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Correct option is A

6n−5n=(1+5)n−5n=1+5n+nC252+nC353+…+nCn5n−5n=1+25mWhere m=nC2+nC3(5)+…+nCn5n−2 is a whole number.Thus, remainder when 6n – 5n is divided by 25 is 1.

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The remainder when 6n – 5n is divided by 25, is

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The remainder when $6^{n} - 5^{n}$ is divided by $25$ , is