Question
If we applicd the pattern of coefficients to the coef ficient of the last term in the Binomial Theorem, it would be $\frac{n !}{n !(n-n) !}$. Show that this expression
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Step 1: The given expression is $\frac{n !}{n !(n-n) !}$. Show more…
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If we applied the pattern of coefficients to the coefficient of the first term in the Binomial Theorem, it would be $\frac{n !}{0 !(n-0) !}$. Show that this expression equals 1.
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a. If we applied the pattern of the coefficients to the coefficient of the first term in a binomial expansion, the coefficient would be $\frac{n !}{0 !(n-0) !}$. Show that this expression is 1. b. If we applied the pattern of the coefficients to the coefficient of the last term in a binomial expansion, the coefficient would be $\frac{n !}{n !(n-n) !} .$ Show that this expression is 1.
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