How many ways can you arrange all the letters from the word COLLETON.

(JUST REMOVE THE NUMBERS FROM THE REST) colleton:

7 Letter Words

colonel

6 Letter Words

collet colone ocelot

5 Letter Words

cello clone colle colon cento cloot conte conto telco nolle lento

4 Letter Words

cell9 clon9 celt8 cent8 clot8 cole8 colt8 cone8 cool8 loco8 once8 coot7 cote7 toco7 enol6 leno6 lent6 lone6 loon6 noel6 nolo6 tell6 toll6 loot5 note5 oleo5 onto5 tole5 tone5 tool5 toon5

3 Letter Words

cel7 col7 con7 coo6 cot6 eco6 ell5 eon4 let4 loo4 lot4 net4 noo4 not4 ole4 one4 ono4 tel4 ten4 ton4 oot3 toe3 too3

2 Letter Words

el3 en3 lo3 ne3 no3 on3 eo2 et2 oe2 oo2 te2 to2

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range:

i think the amount would be $140.62