The school band was scheduled to march in the annual parade, and the band's starting point was changed the day before the parade. The band director calls three band members. Each of these band members call three other band members. These other band members also call three members. How many band members, including the band director, are notified of the new starting point?

Question

anonymous · Answer

i got 22 but its multiple choice and thats not one of the choices

jdoe0001 · Answer

well, let's leave out the director

say 3 band members call another 3, who called another 3
3
3*3
3*3*3   + the director

jdoe0001 · Answer

so 3 called other 3   => 3*3
this other PRODUCT, called another 3
the product was 3*3

calling 3 more will multiply the product by 3 once again
(3*3) * 3 = $\bf 3^3$
then you add the director to that

anonymous · Answer

so that would be 28 in total right? lol idk how i got 22 @jdoe0001

jdoe0001 · Answer

right

anonymous · Answer

thank you!

jdoe0001 · Answer

yw