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Question Number 93555 by mhmd last updated on 13/May/20

Commented by prakash jain last updated on 13/May/20

$$\underset{i=1}{\sum ^n}\left(\begin{array}{c}n\\ i\end{array}\right)a^i{b}^{n-i}={(a+b)}^n$$$$\mathrm{Comparing}\mathrm{with}\mathrm{the}\mathrm{question}$$$$\mathrm{sum}={(1+2)}^{100}=3^{100}$$

Commented by mhmd last updated on 13/May/20

$$thankyousir$$

Commented by mathmax by abdo last updated on 13/May/20

$$=\sum _{k=0}^{100}{2}^k{C}_{100}^k=\sum _{k=0}^{100}{C}_{100}^k{2}^k.1^{100-k}=3^{100}\Rightarrow x=3andy=100$$

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