For $r = 0, 1, \dots .., 10$ , let $A_{r}, B_{r}, and C_{r}$ denote, respectively, the coefficient of $x^{r}$ in the expansions of $(1 + x)^{10}, (+ x)^{20} and (1 + x)^{30}$ .Then $r = 1 \sum 10 A_{r} (B_{10} B_{r} - C_{10} A_{r})$ is equal to

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Harper Discussed

For

r = 0, 1, \dots .., 10

, let

A_{r}, B_{r}, and C_{r}

denote, respectively, the coefficient of

x^{r}

in the expansions of

(1 + x)^{10}, (+ x)^{20} and (1 + x)^{30}

.Then

r = 1 \sum 10 A_{r} (B_{10} B_{r} - C_{10} A_{r})

is equal to

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Question Text

For

r = 0, 1, \dots .., 10

, let

A_{r}, B_{r}, and C_{r}

denote, respectively, the coefficient of

x^{r}

in the expansions of

(1 + x)^{10}, (+ x)^{20} and (1 + x)^{30}

.Then

r = 1 \sum 10 A_{r} (B_{10} B_{r} - C_{10} A_{r})

is equal to

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