Abelardo wants to create several different 7-character screen names. He wants to use arrangements of the first 3 letters of his first name (abe), followed by arrangements of 4 digits in 1984, the year of his birth. How many different screen names can he create in this way?
A) 72
B) 144
C) 288
D)576
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OpenStudy (anonymous):
please help(:
OpenStudy (anonymous):
ummm??? sorry Im confused
OpenStudy (anonymous):
please help!(:
OpenStudy (anonymous):
Letters Arranged in 3! = 6 ways
OpenStudy (anonymous):
numbers Arranged in 4! = 24 ways
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OpenStudy (anonymous):
6 x 24 = 144 my bad !
OpenStudy (anonymous):
where does the seven character screen names come into place?
OpenStudy (anonymous):
it doesnt
OpenStudy (anonymous):
wait so how did we get to the answer of 72?
OpenStudy (anonymous):
the first one was a typo
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OpenStudy (anonymous):
so its 144?
OpenStudy (anonymous):
uhhh, yeah
OpenStudy (anonymous):
this is still confusing
OpenStudy (anonymous):
look, maybe you should consult with someone else, Since you obviously do not like my answer
OpenStudy (anonymous):
the number of permutations of n different objects taken r at a time and is denoted by
nPn
Note that when r = n, nPn= n!