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Elementary Linear Algebra (MindTap Course List)
- Q1 PART 3 Q2 Part 3 and 4.arrow_forwardPLEASE TYPE ONLY*** Exercise 5.3.3: Counting license plate numbers. License plate numbers in a certain state consists of seven characters. The first character is a digit (0 through 9). The next four characters are capital letters (A through Z) and the last two characters are digits. Therefore, a license plate number in this state can be any string of the form: Digit-Letter-Letter-Letter-Letter-Digit-Digit (b) How many license plate numbers are possible if no digit appears more than once? (c) How many license plate numbers are possible if no digit or letter appears more than oncearrow_forwardWrite and evaluate an expression of the form C(n, r) that represents each number of combinations of r cubes that can be taken from the eight cubes shown. (a) r = 1 (b) r = 2 (c) r = 3 (d) r = 4 (e) r = 5 (f) r = 6 (g) r = 7 (h) r = 8 II II II IIarrow_forward
- Determine the original set of data. 1016 2 1 447 9 3 3 5 5 5 7 8 401 Legend: 110 represents 10 The original set of data is 16 (Use a comma to separate answers as needed. Use ascending order.)arrow_forwardScreen Full Page 12. Find the pattern when the squares of the Fibonacci numbers are added: a. Complete the table for the first six rows: The squares of Fibonacci Numbers Pattern Sum (F1)2 (F1)2 + (F2)2 = 12 = 12 + 12 = 1 = 2 = 1 x1 = F1 x F2 = 1 x 2 = F2 x F3 = 1+1 (F1)² + (F2)² + (F3)² = 12 + 12 + 22 = 1+1+4 = 6 = 2 x 2 = _x _ %D = %3D %3D Complete the blanks and the next three rows. Hint: look for two special numbers that multiply to get the sum. b. Explain the pattern of the answers in words. Hint: relate the two multiplied numbers to the numbers you just added. TIP: Look for a pattern that goes across (F1)2 + (F2)? Look for how these NOT how each old answer is related to the new answer. = 12 + 12 = 1+1 = 2 = 1 x 2 = F2 × F3 are related to these. c. Use the pattern to predict the sum when 1² + 1² + 2² + 32 + 5² + ... + 233² is added. Your answer should show that you know how to get the answer using the pattern, without having to actually add up all the numbers! Hint: which subscript…arrow_forward
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