A total of 32 students have entered a spelling contest. There are 6 medals for first through sixth place that will be awarded. In how many different ways can the medals be awarded?

Question

vocaloid · Answer

there are 32 students and 6 medals

for the first medal, we have 32 possibilities
for the second medal, we have 31 possibilities, since one student already won the first medal
for the third medal, we have 30 possibilities, and so on, until we get to the sixth medal

our answer is

32*31*30*29*28*27