Answer: A) 1716 B) 1235520
Step-by-step explanation:
- If order doesn't matter , then we use combinations, where the number of combinations of selecting r things from n is given by :-

- If order matters , then we use permutations, where the number of permutations of selecting r things from n is given by :-

Given, Total distinct letters = 13
To choose = 6 letters
A) Number of ways to choose (if order does not matter)=

B) Number of ways to choose (if order matters)=

Hence, A) 1716 B) 1235520
0.13 cents per minute
$50 per month
13 goes into 5,000 = 384
384 minutes per month
The slope is 2 and the y-intercept is -1
The sum is 15^2 + 8^2 and it doesn't match any of the above
Yes, the inverse of a symmetric matrix is also symmetric.
Take the symmetric matrix A, we have:

and

This gives:

Using the properties:

and

We get:

Since

, we can perform the substitution to get:

Multiplying by

on both sides:



Proving that the inverse of a symmetric matrix is also symmetric.