a) Jairon needs to create a paSsword for his internet account. To simplify things, he is going to form a four-letter paSsword by choosing letters from this set: {A, D, E, M, R, S, T}. How Many different pGSSwords are possible if the second and fourth letters will be vowels and the other two letters won't be vowels (repeated letters are possible)?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Answer the following:
a) Jairon needs to create a paSSword for his
internet account. To simplify things, he is
going to form a four-letter pas sword by
choosing letters from this set: {A, D, E, M, R,
S, T}. How Many different paSswords are
possible if the second and fourth letters wil|
be vowels and the other two letters won't be
vowels (repeated letters are possible)?
b) From a deck of 52 cards, the 12 face
Cards and 4 aces are removed. From these
16 cards, 4 are chosen. HoW Many
COmbinations are possible that have at most
I red card?
c) Rio works at the local art MuseUM. He has
10 pieces of art to choose frOm, but he can
only hang 3 of the frames. HoW Many
possible ways can Eric choose and then
Grrange three frames?
Transcribed Image Text:Answer the following: a) Jairon needs to create a paSSword for his internet account. To simplify things, he is going to form a four-letter pas sword by choosing letters from this set: {A, D, E, M, R, S, T}. How Many different paSswords are possible if the second and fourth letters wil| be vowels and the other two letters won't be vowels (repeated letters are possible)? b) From a deck of 52 cards, the 12 face Cards and 4 aces are removed. From these 16 cards, 4 are chosen. HoW Many COmbinations are possible that have at most I red card? c) Rio works at the local art MuseUM. He has 10 pieces of art to choose frOm, but he can only hang 3 of the frames. HoW Many possible ways can Eric choose and then Grrange three frames?
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