Decoding a Message In Exercises
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Elementary Linear Algebra
- Write 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_forwardLinear algebra: please solve q3 and 7 correctly and handwrittenarrow_forwardThe decimal representation of an ________ number neither terminates nor repeats.arrow_forward
- Discrete mathematicsarrow_forwardA Military Time In Exercises 17 to 24, evaluate each expression, where indicate addition and subtraction, respectively, using military time. (Military time uses a 24-hour clock, where 2:00 a.m. is equivalent to 0200 hours and 10 p.m. is equivalent to 2200 hours.) and 23. 1800 24. 1000 1400 25. 1600 1200 Solution of exercise #23 Solution of exercise #24 Solution of exercise #25 26. Many people consider the 13th of the month an unlucky day when it falls on a Friday. Does every year have a Friday the 13th? What is the greatest number of Friday the 13ths that can occur in one year? Can you find a recent year in which this number occurred? Hint: A non-leap year can have two consecutive months where the 13th is a Friday.arrow_forward*Discrete Mathematics* Prove that is a and b are nonzero integers, a divides b, and a + b is odd, then a is odd.arrow_forward
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