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ddd [48]
3 years ago
7

A key code must contain 4 numerals. There are 10 numerals available. Using

Mathematics
1 answer:
kvasek [131]3 years ago
8 0

Answer:

B, 210

Step-by-step explanation:

\dbinom{10}{4} = \dfrac{10!}{6! \cdot 4!} = \dfrac{10 \cdot 9 \cdot 8 \cdot 7}{4 \cdot 3 \cdot 2 \cdot 1} = 5 \cdot 3 \cdot 7 \cdot 2 = 210

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Since the "Odds and Evens Identity" states that tan(-x) = -tan(x). Tan(-1)= -pi/4.

Knowing that tan is negative in quadrants 2 and 4. the answer is in either of those two quadrants. BUT!!! since inverse of tan is restricted to quadrants 1 and 4 we are left with the only answer -pi/4.

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