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OpenStudy (lindseyhope123):
Please help:)))
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OpenStudy (lindseyhope123):
jimthompson5910 (jim_thompson5910):
Imagine you have 6 slots A through F
How many ways are there to fill those 6 slots if you have 7 items to choose from? Hint: combination formula
OpenStudy (lindseyhope123):
42?
jimthompson5910 (jim_thompson5910):
try to think of it another way: how many ways are there to NOT pick that 7th item?
OpenStudy (lindseyhope123):
im not sure how to solve this with the combo formula
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jimthompson5910 (jim_thompson5910):
you have 1 slot. How many ways are there to fill it? you can choose from a pool of 7
OpenStudy (lindseyhope123):
6
jimthompson5910 (jim_thompson5910):
7 actually
jimthompson5910 (jim_thompson5910):
there are 7 ways to pick from a pool of 7
OpenStudy (lindseyhope123):
oh is it 7! ? which would equal 5040
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jimthompson5910 (jim_thompson5910):
there are 7 ways to pick 6 items (order doesn't matter)
OpenStudy (lindseyhope123):
ok
jimthompson5910 (jim_thompson5910):
do you see why?
OpenStudy (lindseyhope123):
yes there are 7 different ways to fill in 6 slots
jimthompson5910 (jim_thompson5910):
ok so there are 7 different ways to pick ALL music or memory experiments
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jimthompson5910 (jim_thompson5910):
how many ways are there to pick 6 items from a pool of 9?
hint:
combination formula
\[\LARGE _n C _r = \frac{n!}{r!*(n-r)!}\]
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