Pmaths

n! which reads n-factorial and it is interpreted thus n!= n(n-1)(n-2)(n-3)! By implication we could simply say multiply down. for instance 5!= 5 * 4 * 3 * 2 * 1= 120 and 3!= 3 * 2 * 1= 6 NB: 0! and 1! are both 1. It is fixed. This knowledge of factorial will help us as we progress in today's class. but first try these (i) 6! (ii) 8! (iii) 4! + 5! n P r = n!/(n-r)! this represent permutation which literarily mean arrangement. 5 P 3 =5!/(5-3)! = 5!/2!= 5 * 4 * 3 * 2!/2! = 5 * 4 * 3 = 60 Ex 1. How many 3 letter words can we make with the word love? Solution 4 P 3= 4!/(4-3)! = 4 * 3 * 2 * 1!/ 1! = 24 Ex 2. How many 4 letter words can we make out of the word DEMONS? Solution 6P4= 6!/(6-4)! = 6 * 5 * 4 * 3 * 2!/2!= 6 * 5 * 4 * 3= 360

This the work Pythagoras, referred to as his triangle. This can be useful when solving Binomial expansion problems. This as well can be better explained by using combination and permutation. The first thing you notice is that it starts and ends with one while in between are the addition of numbers; the addition 1 & 1 gives 2 on the 3rd line 2+1=3 and 2+1=3, then on the forth line 3 +1 =4  3+3=6. 3+1=4 it follows this pattern.

The world revolve around mathematics, only those who understand numbers and their application will be able to excel well in life. Use the advantage of the internet to be ahead of your colleagues. The Truth is, mathematics is difficult (that's what you want to hear) but so is life, you know the beautiful thing is, as difficult as life, people always find a way through, so it is with mathematics. I want you to make up your mind that 'I am' going to find a way through this huddle between me being who I have always dreamt and pray for or to give up on my dream. Guess what if the crop of achievers you have always heard of or read about gave up, you won't be enjoying the benefits available in our days right now; therefore I am putting to you that you can afford not to leave or not to simplify what is on ground for generations coming to benefit from. I call on every on every interested in numbers, let's help you to help our world! Otor Kenneth