X1-x2-xrn-n-k1-k2-kr-x1 k1x2k2-xrkr0- k1-k2-kr- n- n- N-k1-k2-kr-n

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Multinomial Expansion

x1+x2+...+xrn...

Question

$(x_{1} + x_{2} + . . . + x_{r})^{n} = \sum \frac{n!}{k_{1}! k_{2}! . . . k_{r}!} x_{1}^{k_{1}} x_{2}^{k_{2}} . . . x_{r}^{k_{r}} 0 \leq k_{1}, k_{2}, . . ., k_{r} \leq n, n \in N; k_{1} + k_{2} + . . . + k_{r} = n$

True

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False

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Solution

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Similar questions

u_{n} = \int \frac{x^{n}}{\sqrt{a x^{2} + 2 b x + c}} d x

a u_{n + 1} + 2 b u_{n} + c u_{n - 1} = \sqrt{a x^{2} + 2 b x + c} \frac{x^{n + k_{1}}}{n + k_{1}} - \frac{a u_{n + k_{3}}}{n + k_{2}} - \frac{b u_{n + k_{4}}}{n + k_{2}}

m, n

K (x^{2} - x) + x + 5 = 0.

K_{1} and K_{2}

K

m, n

\frac{m}{n} + \frac{n}{m} = \frac{4}{5} .

\frac{K_{1}}{K_{2}} + \frac{K_{2}}{K_{1}}

\frac{x^{2}}{a^{2} + k_{1}} + \frac{y^{2}}{b^{2} + k_{1}} = 1, \frac{x^{2}}{a^{2} + k_{2}} + \frac{y^{2}}{b^{2} + k_{2}} = 1

k_{1} \neq k_{2}

\frac{x^{2}}{a^{2} + k_{1}} + \frac{y^{2}}{b^{2} + k_{1}} = 1

\frac{x^{2}}{a^{2} + k_{2}} + \frac{y^{2}}{b^{2} + k_{2}} = 1

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