TS EAMCET · Maths · Binomial Theorem
If \(\mathrm{C}_0, \mathrm{C}_1, \mathrm{C}_2, \ldots, \mathrm{C}_{10}\) represent the binomial coefficients in the expansion of \((1+x)^{10}\), then \(\mathrm{C}_0 \mathrm{C}_6+\mathrm{C}_1 \mathrm{C}_7+\mathrm{C}_2 \mathrm{C}_8+\mathrm{C}_3 \mathrm{C}_9+\mathrm{C}_4 \mathrm{C}_{10}=\)
- A \(9690\)
- B \(4845\)
- C \(1615\)
- D \(3230\)
Answer & Solution
Correct Answer
(B) \(4845\)
Step-by-step Solution
Detailed explanation
\mathrm{C}_0 \mathrm{C}_6+\mathrm{C}_1 \mathrm{C}_7+\mathrm{C}_2 \mathrm{C}_8+\mathrm{C}_3 \mathrm{C}_9+\mathrm{C}_4 \mathrm{C}_{10} = \binom{10}{0}\binom{10}{6} + \binom{10}{1}\binom{10}{7} + \binom{10}{2}\binom{10}{8} + \binom{10}{3}\binom{10}{9} + \binom{10}{4}\binom{10}{10}…
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