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Mathematics 10 Online
OpenStudy (anonymous):

How many different arrangements can be made with the letters in the word NUMBER?

OpenStudy (campbell_st):

6 letters so its 6! ways... just evaluate it for the answer

OpenStudy (anonymous):

so its going to be 24?

OpenStudy (anonymous):

6!= 6*5*4*3*2*1

OpenStudy (campbell_st):

do you know about factorial notation..?

OpenStudy (anonymous):

I think so

OpenStudy (anonymous):

got a trick for ya babe ;) first you check how many different numbers there are, in this case N U M B E R, so 4 then you 4x3x2x1, as u see, all the way down to 1 if there are 9 different numbers, u do 9x8x7x6x5x4x3x2x1, u see the trick ;)

OpenStudy (anonymous):

Dont call me babe -_- and NO I DONT UNDERSTAND YOUR TRICK

OpenStudy (campbell_st):

here is an online calculator with a factorial function next to the % symbol... its ! hope this helps

OpenStudy (anonymous):

wut u racist toward asian dude?

OpenStudy (anonymous):

i am not racist just dont call me babe kayy

OpenStudy (anonymous):

oh fck it my eyes failed counting numbers of letters.. WTF

OpenStudy (anonymous):

its 6x5x4x3x2x1

OpenStudy (anonymous):

@campbell_st thanks

OpenStudy (campbell_st):

factorial notation simply means multiplying by all the terms to 1 e.g 3! = 3 x 2 x 1 = 6 4! = 4 x 3 x 2 x 1 = 24 5! = 5 x 4 x 3 x 2 x 1 = 120 etc its important when working with permutations and combinations

OpenStudy (anonymous):

@campbell_st so whats the factorial of 1 and 0

OpenStudy (campbell_st):

thats easy 0! = 1 and 1! = 1 anything else... of consequence

OpenStudy (anonymous):

why

OpenStudy (campbell_st):

why not

OpenStudy (anonymous):

logically, factorial of 4 = 4x3x2x1, factorial of 1 and 0 doesn't follow the logic, plz explain why

OpenStudy (campbell_st):

thats easy..... start with a w then thats followed by an h and lastly its a y... and thats why

OpenStudy (anonymous):

i mean, the dude that brought factorial out didn't just invent 1!=1 and 0!=1

OpenStudy (campbell_st):

its easy n! = 1 if n = 1 n! = (n -1)! x n is n >0 and zero has only one permutation is that ok...

OpenStudy (anonymous):

these 2 numbers obviously don't feel the logic of the rest, i want to know why it's made this way

OpenStudy (campbell_st):

lol.... well well how many ways can you arrange zero items....

OpenStudy (anonymous):

infinite ways

OpenStudy (campbell_st):

and the other thing is its all a waste of time and effort the questioner got the answer she desired

OpenStudy (campbell_st):

ok... well I'll leave you to go and arrange zero in an infinite number of ways

OpenStudy (anonymous):

yea but i'm the new one ;)

OpenStudy (anonymous):

all i want to know is why 0!=1

OpenStudy (anonymous):

and not 0!=8464351454846543132123184654

OpenStudy (jagatuba):

This question is closed so it's time to move on. And @zscdragon, you need to stop being disruptive in posts please.

OpenStudy (anonymous):

what? I'm asking a question

OpenStudy (jagatuba):

This is not your question. If you have one ask your own and stop hijacking others' questions. It disrupts the learning process.

OpenStudy (anonymous):

ok look i'm done with this if u guys can't answer. if u can't just say u can't, stop calling others to be disruptive or annoying just avoid showing ur weaknesses

OpenStudy (anonymous):

@zscdragon 0! =1 because it is not considered a mathematical function ie a permutation but a symbol . This symbol makes it possible to understand the concept of permutation. Mathematics is the science of solving puzzles and this symbol solves the puzzle of how to represent permutations. Thats why both 1! and 0! have the same value . because 1 follows the rule of permutations and 0 is made to follow the rule by making it a symbol so that the concept of permutations remain valid. Also , logically you can arrange nothing in only 1 way and that is nothing !

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