anonymous
  • anonymous
A professor must randomly select 4 students to participate in a mock debate. There are 15 students in his class. In how many different ways can these students be selected, if the order of selection does not matter?
Mathematics
schrodinger
  • schrodinger
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jim_thompson5910
  • jim_thompson5910
Let's say you had 4 slots: A,B,C,D how many choices do you have for slot A?
anonymous
  • anonymous
15
jim_thompson5910
  • jim_thompson5910
how many do you have for slot B?

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More answers

anonymous
  • anonymous
15
jim_thompson5910
  • jim_thompson5910
once you pick a person, you cannot pick them again so you have 15-1 = 14 choices for slot B
jim_thompson5910
  • jim_thompson5910
how about slot C?
anonymous
  • anonymous
13
jim_thompson5910
  • jim_thompson5910
and slot D?
anonymous
  • anonymous
omg i get it now thank you
jim_thompson5910
  • jim_thompson5910
what result do you get
anonymous
  • anonymous
32760
jim_thompson5910
  • jim_thompson5910
that would be the answer if order mattered but order does NOT matter
jim_thompson5910
  • jim_thompson5910
if you had 4 students, call them A,B,C,D then ABCD is the same as ACBD and ADCB there are 4! = 4*3*2*1 = 24 ways to rearrange ABCD. So we have to divide by 24 to make the correction
jim_thompson5910
  • jim_thompson5910
32760/24 = 1,365
jim_thompson5910
  • jim_thompson5910
there are 1,365 different ways to pick 4 people (order doesn't matter)
anonymous
  • anonymous
oh okay thank you
jim_thompson5910
  • jim_thompson5910
you're welcome

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