# Mathematics of the RFEI. Independent work 1,2,3,4.

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REQUIREMENTS OF INDEPENDENT WORK # 1 ON THE COURSE "MATHEMATICS"
I. Find for what value of the parameter α the determinant
0 A =:

REQUIREMENTS OF INDEPENDENT WORK # 2 ON THE COURSE "MATHEMATICS"
1. Determine the origin of the vector {} 1; 3; 2 - - = a if its endpoint coincides with the point (1; -1; 2).

REQUIREMENTS OF INDEPENDENT WORK # 3 ON THE COURSE "MATHEMATICS"
1. Find the limit

REQUIREMENTS OF SELF-WORKING WORK # 4 ON THE COURSE "MATHEMATICS"
Task 1. On the regiment of the shopping center there are 6 packages of markers of different colors. How many color combinations can be made of them, if the packages of markers are laid out in one line?
A) 720; B) 24; B) 60.
Problem 2. How many permutations are there from the letters of the word "business", in which the letter "b" is in the first place, and the letter "c" is at the end of the word?
A) 120; B) 24; B) 60.
Problem 3. How many three-letter "words" can be composed of the letters of the word "ACCOUNTING"? A word is any sequence of letters.
A) 10; B) 24; B) 60.

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