# Study Guideline

WEEK 12:

TITLE: BINOMIAL THEOREM, COUNTING PRINCIPLE, ECHANGE, AND COMBO Christina Bryant

Define Binomial Coefficient. Give an example. Write down thier steps of your Graphing Energy to evaluate the Binomial Pourcentage and the last answer. Binomial coefficients are a family of positive integers that occurs as rapport in the binomial theorem. (10¦10)

(10¦10)=10! /(10-10)! 10!

=10! /0! 12!

=10! /(1)(10! )

=10! /10!

=1

Last answer can be 1 .

Describe the fundamental keeping track of principle in two to three content. Give an example. The rule states that if a collection of meters outcomes can occur in such a way that the first end result can occur in n1 methods, the second can happen in nm ways, then your number of ways that is certainly sequence may result can be n1*n2*n3 methods. Example: I actually go to a restaurant to get some breakfast time. The menu says pancakes, waffles, or home fries. And to drink, coffee, drink, hot chocolates, and tea. How numerous choices of food and drink do you have? The 3 choices for foodstuff and 4 choices for beverage; thus, Excellent total of 3*4= doze choices

State the difference among permutation and combination.

The difference is the fact if the purchase doesn't subject, it's a combination and if the order does matter it is a permutation. 5. There are 13 performers who will present their particular comedy acts this weekend at a comedy membership. One of the artists insists in being the last stand-up comedian of the night, and among the performers desires to be the first. In the event that these performer's requests happen to be granted, how many different methods are there to schedule the appearances? (14-2)! = 479001600

Of the 75 people inside the U. S i9000. Senate, 18 serve for the Foreign Contact Committee. Just how many ways is there to select Senate members in this committee (assuming party affiliation is not only a factor in selection)? 100c18=100! /[(100-18)! *18! ]=30, 664, 510, 802, 988, 208, three hundred

6. A fair coin is usually tossed twice in succession. The pair of equally very likely outcomes is definitely HH, HT, TH, TT. Locate the...

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