AP EAMCET · Maths · Binomial Theorem
\((102)^4=\) ?
- A 108242316
- B 108423216
- C 102843216
- D 108243216
Answer & Solution
Correct Answer
(D) 108243216
Step-by-step Solution
Detailed explanation
\text { } \begin{aligned} (102)^4= & (100+2)^4 \\ = & { }^4 C_0(100)^4 \cdot 1+{ }^4 C_1(100)^3 \cdot 2^1 \\ & \quad+{ }^4 C_2(100)^2 \cdot 2^2+{ }^4 C_3(100)^1 \cdot 2^3 \\ & \quad+4 C_4(100)^0 2^4 \\ = & (100)^4+4(100)^3 \cdot 2+6(100)^2 \cdot 4 \\ & \quad+4(100) 8+1 \cdot 1…
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