How many 5-digit numbers can be formed out of the digits 0, 1, 2, 3, and 4? Identify whether the situation involves combinations or permutations.
a) 24; permutations
b) 120; combinations
c) 24; combinations
d) 120; permutations

120 permutations

Step-by-step explanation: permutation is different from combination because in a permutation the order you put it in matters. in a combination any order is fine. So there is only one combination you can make with these numbers, but there is 120 permutation you can make.

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p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

r = 78539458390583095803458309458039485093485 or just 3

step-by-step explanation: