How many different three letter initials can a person have, if the first and last initial
cannot be the same?
*note: i'm pretty sure the answer looks something like 26! / i'm supposed to understand this using factorials. i don't understand how to get the denominator.

26*26*25 = 16,900

Step-by-step explanation:

First, we focus on the first initial, we have 26 letters that could fit in (the whole alphabet).

In the last initial we can't have the same we have in the first one, so we have 25 letters (the whole alphabet minus the letter that we already choose in the first initial ).

We have no restrictions for the middle one, so again we have 26 letters that could fit in.

So, we have 26*26*25 combinations (we multiply them because they happen all at the same time)

There is no need to use factorials, but we can use them if you want to.

Let's notice that 26! = 26*25*24*23*22*...

In our calculation, we only need the two first factors, so we can divide by 24! =24*23*22*21*...

Therefore,

26*26*25 = 26 * 26! /24!

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).