COMEDK · Maths · 7. Binomial Theorem
The total number of terms in \((x-y)^{20}+(x+y)^{20}\) is
- A 10
- B 20
- C 21
- D 11
Answer & Solution
Correct Answer
(D) 11
Step-by-step Solution
Detailed explanation
By using binomial expansion \((x+y)^{20}={ }^{20} C_0 x^{20}+{ }^{20} C_1 x^{19} y+{ }^{20} C_2 x^{18} y^2+\ldots{ }^{20} C_{20} y^{20}\)...(i) and \((x-y)^{20}={ }^{20} C_0 x^{20}-{ }^{20} C_1 x^{19} y+{ }^{20} C_2 x^{18} y^2 -\ldots+{ }^{20} C_{20} y^{20}\)...(ii) Add both the…
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