a. Evaluate the following factorial. 1. 3! 71 = 9! 2. 613! b. Evaluate the following combinations. 1. (85) n! (nr) = %3D r!(n-r)! c. Find the fifth term in the expansion (x+ y)16 Solution: n = 16 , r= 5 %3D (a+b)" = (nr – 1) ar*b-1 %3D

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 10E: Find the required term of each expansion. 2x-y5; 3rd term
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a. Evaluate the following factorial.
7!-
9!
1.
3!
6!3!
b. Evaluate the following combinations.
1. (85)
n!
(nr) =
%3D
r!(n-r)!
c. Find the fifth term in the expansion (x+ y)16
Solution: n = 16 , r= 5
(a+b)" = (nr – 1) ar*b-1
%3D
2.
Transcribed Image Text:a. Evaluate the following factorial. 7!- 9! 1. 3! 6!3! b. Evaluate the following combinations. 1. (85) n! (nr) = %3D r!(n-r)! c. Find the fifth term in the expansion (x+ y)16 Solution: n = 16 , r= 5 (a+b)" = (nr – 1) ar*b-1 %3D 2.
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