Find the R Th Term in the Binomial Expansion $$( a + y ) ^ { n }$$

question 85

Multiple Choice

Find the r th term in the binomial expansion. $$( a + y ) ^ { n }$$

• A) \(\quad \frac { n ! } { ( n - r + 1 ) ! ( r - 1 ) ! } a ^ { n - r + 1 } y ^ { r - 1 }\)
• B) \(\frac { n ! } { ( n + r - 1 ) ! ( r + 1 ) ! } a ^ { n + r - 1 } y ^ { r + 1 }\)
• C) \(\quad \frac { n ! } { ( n - r ) ! r ! } a ^ { n - r } y ^ { r }\)
• D) \(\frac { n ! } { ( n - r + 1 ) ! ( r - 1 ) ! } a ^ { n - r } y ^ { r - 1 }\)
• E) \(\frac { n ! } { ( n - r ) ! r ! } a ^ { n - r + 1 } y ^ { r - 1 }\)

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