whats the mumber of injections f from S={1,2,3,4,5} to T={a,b,c,d,e,f} such that f(1)!=a and f(2)=!b ? i came to the conclusion 5^2 x 4^2 x 3 because: f(1) has 5 ways (when we exclude a and b) (2) has 4 (excluding a,b, f(1)) f(3) is back to 5 ( excluding f(1), f(2), but putting back a and b) f(4) has 4 f(5) has 3
whats the mumber of injections f from S={1,2,3,4,5} to T={a,b,c,d,e,f} such that f(1)!=a and f(2)=!b ? i came to the conclusion 5^2 x 4^2 x 3 because: f(1) has 5 ways (when we exclude a and b) (2) has 4 (excluding a,b, f(1)) f(3) is back to 5 ( excluding f(1), f(2), but putting back a and b) f(4) has 4 f(5) has 3
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 21E
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whats the mumber of injections f from S={1,2,3,4,5} to T={a,b,c,d,e,f} such that f(1)!=a and f(2)=!b ?
i came to the conclusion 5^2 x 4^2 x 3 because:
f(1) has 5 ways (when we exclude a and b)
(2) has 4 (excluding a,b, f(1))
f(3) is back to 5 ( excluding f(1), f(2), but putting back a and b)
f(4) has 4
f(5) has 3
is this correct?
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