MONDAY, after Mr. K was finished preparing the days lesson we got right to work.
He hit us with a question:
a) How many ways can the ways GEOMETRY be arranged so that vowels and consonants alternate?First we give 8 available spaces labeled cvcvcvcv because the vowels an consonants alternate.
YES, in this case Y is a vowel !!!!!!!!!!!!!!!!!!!!!!!!!!!
There are four vowels and consonants so in the first space there are 4 available consonants, in the second there are 3 in the third there are 2 and in the last space there is only 1 consonant available so therefore is labeled one. Same pattern applies to the vowels.
In the above illustration there are two sets because you could either start with a vowel or start with a consonant.
Then you mulitply:
Note: you add 576 two times because there are two sets.
b) How many ways is y the last letter?
How many ways can student council choose a subcommittee of 5 people from the entire council which consist of 11 people?
Comination: An arrangement of objects where order does not matter.
Given a set of n objects, how many different groupls of n objects can be chosen were order doesn't matter.
How many different tickets can be sold in the 6/49?
(Basically just plug in the numbers)
To punch this in your calculator
Press the MATH button
Choose the PRB
Choose the third choice which is n choose r
In other words, you much better off just saving your money!!!!!!!
I'm still in the learning process for these blogs, as you can tell I'm not that great, but i hope i covered everything. Until my next duty this is got MELk out.