You volunteer to help drive children at a charity event to the zoo, but you can fit only 6 of the 15 children present in your van. How many different groups of 6 children can you drive?
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jimthompson5910 (jim_thompson5910):
use the formula
n C r = (n!)/(r!*(n-r)!)
where in this case, n = 15 and r = 6
jimthompson5910 (jim_thompson5910):
tell me what you get
OpenStudy (anonymous):
sweet thanks
jimthompson5910 (jim_thompson5910):
sure thing
OpenStudy (anonymous):
i got 5005
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jimthompson5910 (jim_thompson5910):
you are 100% correct
OpenStudy (anonymous):
sweet!! next question
OpenStudy (anonymous):
There are 6 performers who will present their comedy acts this weekend at a comedy club. One of the performers insists on being the last stand-up comic of the evening. If this performer's request is granted, how many different ways are there to schedule the appearances?
jimthompson5910 (jim_thompson5910):
one insists to be last, so that slot is taken
you have 6-1 = 5 slots left to be filled with 5 performers
jimthompson5910 (jim_thompson5910):
order matters so there are 5 P 5 = (5!)/((5-5)!) = ??? ways
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jimthompson5910 (jim_thompson5910):
tell me what you get
OpenStudy (anonymous):
120?
jimthompson5910 (jim_thompson5910):
yep
OpenStudy (anonymous):
yes!
jimthompson5910 (jim_thompson5910):
an alternative is to compute 5! = 5*4*3*2*1 = 120
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OpenStudy (anonymous):
im finally getting this
jimthompson5910 (jim_thompson5910):
that's great
jimthompson5910 (jim_thompson5910):
glad it's all clicking now
OpenStudy (anonymous):
ive been working on this for the past month. thank you so much!!
jimthompson5910 (jim_thompson5910):
hmm maybe it just takes a month for things to settle into place?
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jimthompson5910 (jim_thompson5910):
but glad to be of help
OpenStudy (anonymous):
haha thank you! im taking an online class so i have teach myself everything. its been crazy
jimthompson5910 (jim_thompson5910):
I'm sure you have a teacher to go to though right?
OpenStudy (anonymous):
yeah.. but i cant actually go see here. im a visual learner...
jimthompson5910 (jim_thompson5910):
like if you have any questions
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jimthompson5910 (jim_thompson5910):
lol who isn't really, I know I am
OpenStudy (anonymous):
exactly
jimthompson5910 (jim_thompson5910):
you can at least contact the teacher though right?