Please help solve this question into details for me. I want to use it to understand the concept of permutation and combinations. Thanks a lot. 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? (5) You know that Person A, Person B, and Person C logged on before you but you don’t know who came first. How many possibilities are there for the order of A, B, and C to have signed on before you? (6) What formula did you use for question five, and why? (7) Look at your answers to one, three, and five. Write an equation of the form x×y = z using these numbers. Do you have an explanation for this equation? (8) Look at your answers to two, four, and six. Write an equation of the form x × y = z using those three formulas. Do you have an explanation for this equation?
Please help solve this question into details for me. I want to use it to understand the concept of permutation and combinations. Thanks a lot.
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?
(5) You know that Person A, Person B, and Person C logged on before you but you don’t
know who came first. How many possibilities are there for the order of A, B, and C
to have signed on before you?
(6) What formula did you use for question five, and why?
(7) Look at your answers to one, three, and five. Write an equation of the form x×y = z
using these numbers. Do you have an explanation for this equation?
(8) Look at your answers to two, four, and six. Write an equation of the form x × y = z
using those three formulas. Do you have an explanation for this equation?
Disclaimer:
Since you have posted a question with multiple sub-parts, we will solve first three sub parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved.
Given Data:
Let us consider the given in a zoom meeting ten people are invited, three persons logged on the meeting.
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Solved in 5 steps
(4) What formula did you use for question three, and why?
(5) You know that Person A, Person B, and Person C logged on before you but you don’tknow who came first. How many possibilities are there for the order of A, B, and C to have signed on before you?
(6) What formula did you use for question five, and why?
(7) Look at your answers to one, three, and five. Write an equation of the form x×y = z using these numbers. Do you have an explanation for this equation?
(8) Look at your answers to two, four, and six. Write an equation of the form x × y = z using those three formulas. Do you have an explanation for this equation?
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