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1 . A password consists of 28 characters, each character being a lowercase letter. A password must contain exactly one vowel (i.e.,
a
,
e
,
i
,
o
, or
u
). How many passwords are there?
(a)
$28 \cdot 5 \cdot 26^{27}$
(b)
$5 \cdot 21^{27}$
(c)
$28 \cdot 5 \cdot 21^{27}$
(d)
$28 \cdot 5 \cdot 27^{21}$
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