: ive 7. John, Trey, and Miles want to know how many two-letter secret codes there are that don’t have a repeated letter. For example,

: ive
7.
John, Trey, and Miles want to know how
many two-letter secret codes there are that
don’t have a repeated letter. For example, they
want to count BA and AB, but they don’t want to
count doubles such as ZZ or XX. John says there
are 26 + 25 because you don’t want to use the
same letter twice; that’s why the second number is
25. Trey says he thinks it should be times, not plus:
26 X 25. Miles says the number is 26 X 26 – 26
because you need to take away the double letters.
Discuss the boys’ ideas. Which answers are
ved
the
by
ped
of
ent
be
vhy
= by
d in
correct, which are not, and why? Explain your
answers clearly and thoroughly, drawing on the
meaning of multiplication.

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