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

question 131

Multiple Choice

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

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

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