Using binomial theorem, evaluate : $(101)^{4}$

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Using binomial theorem, evaluate :

(101)^{4}

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Text solutionVerified

Solution:

(101)^{4} = (100 + 1)^{4}

= 4_{C_{0}} (100^{4}) + 4_{C_{1}} (100^{3}) + 4_{C_{2}} (100^{2}) + 4_{C_{3}} (100^{1}) + 4_{C_{4}} (100^{0})

100000000 + 4000000 + 60000 + 400 + 1 = 104060401

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Question Text	Using binomial theorem, evaluate : $(101)^{4}$
Answer Type	Text solution:1
Upvotes	150