Answer:
42
Step-by-step explanation:
The permutation for that set of data looks like this:
[tex]_{7}P_{2}[/tex]
The formula looks like this:
[tex]_{7}P_{2}=\frac{7!}{(7-2)!}[/tex]
which of course simplifies to
[tex]_{7}P_{2}=\frac{7!}{5!}[/tex]
which further simplifies down to the most basic simplification:
[tex]_{7}P_{2}=7*6[/tex]
since the 5*4*3*2*1 that goes after the 6 in the numerator cancels with the 5*4*3*2*1 in the denominator.
You could also check this on your calculator. Hit "math", then arrow over to "Prob" and it's under nPr.
