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Answer in brief and concise sentences.

A. What is Combinatorics?
B. State the Multiplication Rule of Counting
C. State the Addition Rule of Counting
D. Describe the 2 approaches of defining probability.
Find x³+y³+z³=42 and explanation please
Using Wilson's and Fermat's Little Theorem
What is the remainder when:
1.) 3^{31}\div73 31 ÷ 7
2.) 5^{119}\div595 119 ÷ 59
3.) 2^{70}+3^{30}\div132 70 + 3 30 ÷ 13
4.) 53!\div6153 ! ÷ 61
5.) 149!\div139149 ! ÷ 139
Find all integers x such that: x^{86}\equiv6\left(\mod29\right)
How many words can we build using exactly 4 A's, 4 B's and 4 C's if the first 4 letters cannot be A's, the second 4 letters cannot be B's and the third 4 letters cannot be C's?

Given digits 0,1,2,3,4,5,6 & 7

How many 4'digit different codes are possible if repetition is not allowed



11. Maya is making a game board that is 16 inches by 24 inches. She wants to use square tiles. What is the largest tile she can use?
nP8+nP15+nP20+1=n (equation 1)
nP9+nP13+4=n (equation 2)
Find the number of permutations of four letters from the word MATHEMATICIAN
Find the sum of the series 1^2 + 2^2 + 3^2 + 4^2 +.... Up to 2n terms.
Find the number of permutations of four letters from the word MATHEMATICS.
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