State whether the following involves permutations or combinations. It is not necessary to solve the problem.Five of a sample of 100 computers will be selected and tested. How many ways are there to make this selection?
A. Combination
B. Permutation
Answer: A
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Provide an appropriate response.Subtract: 48,006 - 3,215
A. 51,212 B. 44,791 C. 51,221 D. 44,719 E. none of the above
Let (m × n) denote a matrix of size m × n. Find the size of the following product, or state that the product is not defined.(4 × 4)(4 × 4)
A. 4 × 4 B. not defined C. 4 × 8 D. 8 × 4
Leo Moser studied the effect that two face-to-face panes of glass have on light reflected through the panes. If a ray is not reflected, it has just one path through the glass. If it has one reflection, it can be reflected two ways. For two reflections, it can be reflected three ways. Make a conjecture about the number of paths for n reflections.
A. 1, 2, 3, 5, 7,.... B. 1, 2, 3, 4, 7,.... C. 1, 2, 3, 4, 5,.... D. 1, 2, 3, 5, 8,.... E. 1, 2, 3, 6, 12,....
Verify the identity.tan (x - ?) = tan x
What will be an ideal response?