For this Big Problem, we’re going to investigate the different combinatorial formulas to figure out why they are the way they are. Using Zoom! (1) Suppose you are organizing a Zoom meeting and invite ten people. You don’t know who all is coming so you watch people sign on one at a time. How many possibilities are there for the first, second, and third people to sign on? (2) What formula did you use for question one, and why? (3) Suppose you are running late so by the time you log on three people have already arrived. How many possibilities are there for which three people are logged on? (4) What formula did you use for question three, and why?
For this Big Problem, we’re going to investigate the different combinatorial formulas to
figure out why they are the way they are. Using Zoom!
(1)
Suppose you are organizing a Zoom meeting and invite ten people. You don’t know
who all is coming so you watch people sign on one at a time. How many possibilities
are there for the first, second, and third people to sign on?
(2)
What formula did you use for question one, and why?
(3)
Suppose you are running late so by the time you log on three people have already
arrived. How many possibilities are there for which three people are logged on?
(4)
What formula did you use for question three, and why?
Given: (1) Ten people are invited to a Zoom meeting and the order in which they sign on is being monitored. (2) The number of possibilities for the first, second, and third people to sign on is required. (3) Three people have already logged on and the number of possibilities for which three people are logged on is needed.
Task:
- Determine the number of possibilities for the first, second, and third people to sign on
- Identify the formula used for question one and explain why
- Determine the number of possibilities for which three people are already logged on
- Identify the formula used for question three and explain why.
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