Which type of combinatorics problem is represented by the following situation: How many different outfits (not necessarily matching) is it possible to put together if you have 7 different pairs of pants, 2 different pairs of shoes, and 12 different shirts?
a. Fundamental Counting Principle
b. Selection
c. Partition
d. Distribution
Ans: a
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A. -0.9985 B. 0.6752 C. 1.0015 D. 1.4811
Use the binomial theorem to expand the expression.(4x + 1)5
A. 1024x5 + 20x4 + 160x3 + 160x2 + 20x + 1 B. 1024x5 + 256x4 + 64x3 + 16x2 + 4x + 1 C. 1024x5 + 1280x4 + 640x3 + 160x2 + 20x + 1 D. (16x2 + 8x + 1)5
Write out the first five terms of the sequence.an = n- 4
A. -4, -3, -2, -1, 0 B. 3, 2, 1, 0, -1 C. -3, -2, -1, 0, 1 D. 3, 2, -1, 0, 1
Provide an appropriate response.The equation (x + 11)2 = 0 has exactly one real solution.
A. True. B. False; the equation has two real solutions. C. False; the equation has no real solutions.