What is the value of $(a + b)^{100} ?$

^{100} C_{0} a^{100} b^{0} +^{100} C_{1} a^{99} b^{1} +^{100} C_{2} a^{98} b^{2} + . . . +^{100} C_{100} b^{100}

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^{100} C_{0} a^{100} b^{100} +^{100} C_{1} a^{99} b^{99} +^{100} C_{2} a^{98} b^{2} + . . . +^{100} C_{100} b^{100}

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^{100} C_{1} a^{100} b^{0} +^{100} C_{2} a^{99} b^{1} +^{100} C_{3} a^{98} b^{2} + . . . +^{100} C_{100} b^{100}

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^{100} C_{0} b^{100} a^{0} +^{100} C_{1} b^{99} a^{1} +^{100} C_{2} b^{98} b^{2} + . . . +^{100} C_{100} b^{100}

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Solution

The correct option is A $^{100} C_{0} a^{100} b^{0} +^{100} C_{1} a^{99} b^{1} +^{100} C_{2} a^{98} b^{2} + . . . +^{100} C_{100} b^{100}$
The value of $(a + b)^{100}$ is $^{100} C_{0} a^{100} b^{0} +^{100} C_{1} a^{99} b^{1} +^{100} C_{2} a^{98} b^{2} + . . . +^{100} C_{100} b^{100}$ .

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