COMEDK · Maths · 7. Binomial Theorem
The total number of terms in the expansion of \((x+y)^{100}+(x-y)^{100}\) is
- A 49
- B 50
- C 51
- D 99
Answer & Solution
Correct Answer
(C) 51
Step-by-step Solution
Detailed explanation
The binomial expansion of \((x+y)^{n}\) is given by \(\sum_{k=0}^{n} {^{n}C_{k}} x^{n-k} y^{k}\). Expanding the two terms: \((x+y)^{100} = {^{100}C_{0}} x^{100} + {^{100}C_{1}} x^{99} y + {^{100}C_{2}} x^{98} y^{2} + \dots + {^{100}C_{100}} y^{100}\)…
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