Question

1) Find the value of ¹⁰C₅+2.¹⁰C₄+¹⁰C₃.
2) Solve that ⁽ⁿ⁻³⁾Cr+3⁽ⁿ⁻³⁾Cr-1+3⁽ⁿ⁻³⁾Cr-2+⁽ⁿ⁻³⁾Cr-₃=ⁿCr.
3) Prove that ²⁵C₄+∑⁴r=₀²⁹⁻C₃=³⁰C₄
4) Prove that ³⁴C₅+∑⁽³⁸⁻^r⁾C₄=³⁹C₅

Answer 1

Answer:

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