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Mathematics 10 Online
OpenStudy (lindseyhope123):

Please help:)))

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

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

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

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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