Combinations

• January 25th 2010, 08:41 PM
deccas
Combinations
Ok say i have a bass guitar and want to figure out how many tone combinations i can have what is the equation and answer to this.
There are 4 knobs, each knob has 3 positions, all knobs must be used at the same time and each knob can only use one position at a time
• January 25th 2010, 09:00 PM
$K_1$ has 3 positions a, b, c

$K_2$ has 3 positions d, e, f

$K_3$ has 3 positions g, h, i

$K_4$ has 3 positions j, k, l

As each of the 4 knobs can be in any of the 3 positions,
the position combinations are....

This is $3(3)3(3)=3^4$ combinations