Take # of Subjects 20! (20-5)! divided by Using # of subjects in pool by # Subjects selected Use n! = nx/n-1)! to expand the expression 20x 19 x 18 X 17X16X15! 20-56 (151) Subtract 20X19X18X17X16X15! 15! C

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 13E
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The first question I have the answer.

The second question is: explain how this compares with 20C5 and 20P5.

Take
# of Subjects
20!
(20-5)!
divided by
Using # of subjects in pool by # Subjects selected
Use n! = nx/n-1)! to expand the expression
20x 19 x 18 X 17X16X15!
20-56 (151)
Subtract
20X19X18X17X16X15!
15!
Cancel out common factors = 15!
20X19X18X1X16X
15+
20 x 19 x 18 X 17 X 16 = 1860480
(Used calculator)
Multiplied 1.84048 X 10²
Answer = 1860480
Transcribed Image Text:Take # of Subjects 20! (20-5)! divided by Using # of subjects in pool by # Subjects selected Use n! = nx/n-1)! to expand the expression 20x 19 x 18 X 17X16X15! 20-56 (151) Subtract 20X19X18X17X16X15! 15! Cancel out common factors = 15! 20X19X18X1X16X 15+ 20 x 19 x 18 X 17 X 16 = 1860480 (Used calculator) Multiplied 1.84048 X 10² Answer = 1860480
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