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General Term of Binomial Expansion

If the coeffi...

Question

If the coefficient of $(2 r + 4)^{t h}$ and $(r - 2)^{t h}$ terms in the expansion of ( $1 + x)^{18}$ are equal, then r =

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Solution

The correct option is D
6

$^{18} C_{2 r + 3}$ = $^{18} C_{r - 3}$ ⇒ 2r + 3 + r - 3 = 18 ⇒ r = 6

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Similar questions

(2 r + 4)^{t h}

(r - 2)^{t h}

(1 + x)^{18}

(1 + x)^{18}

=

(2 r + 4)^{t h}

(r - 2)^{t h}

(1 + x)^{18}

r

r

(2 r + 4)^{t h}

(r - 2)^{t h}

(1 + x)^{18}

{(2 r + 4)}^{t h}, {(r - 2)}^{t h}

{(1 + x)}^{18}

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