How many different ways can Gold, silver, and bronze medals be awarded to six different athletes? The multiplication principle states that if there are P ways that the first choice can be made, and Q ways that a second can be made, then there are PxQ combinations. Would this be 3x6= 18?

Question

misty1212 · Answer

hi!!

misty1212 · Answer

six for the gold then five for the bronze then 4 for the silver
multiply together via the "counting principle"

j.f · Answer

how  did you know 6 for the gold, five for the bronze, and 4 for silver

misty1212 · Answer

because you have 6 athletes to choose from

misty1212 · Answer

once one has gold, there are 5 left
then once one has gold, another silver, there are 4 left

j.f · Answer

ohhhhhhhhhhhhhhhhhhhhhhh, that makes sense