- #1
Shoney45
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Homework Statement
Given nine different English books, seven different French books, and five different German books: How many ways are there to mak a row of three books in which exactly one language is missing?
Homework Equations
P(n,k) C(n,k)
The Attempt at a Solution
I broke this up into six cases: Let English books be represented by E, German books by G, and French books by F. My six cases then are:
(2E)F = p(9,2)*7 = 504
(2E)G = p(9,2)*5 = 360
(2F)E = p(7,2)*9 = 378
(2F)G = p(7,2)*5 = 210
(2G)E = p(5,2)*9 = 540
(2G)F = p(5,2)*7 = 420
all of which equals 2412 possibilities.