Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk, and chair.
(a) How many ways can this be done, if the order of the choices is relevant?
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(b) How many ways can this be done, if the order of the choices is not relevant?

The triangles are similar. what is the value of x? enter your answer in the box. x = two right triangles. the larger right triangle is labeled x on the longer leg, 12 on the shorter leg and 20 on the hypotenuse. the smaller triangle is labeled 4 on the longer leg, 3 on the shorter leg, and 5 on the hypotenuse.

Write the system of equations represented by the matrix. 0 1 2 4 -2 3 6 9 1 0 1 3

According to modern science, earth is about 4.5 billion years old and written human history extends back about 10,000 years. suppose the entire history of earth is represented with a 10-meter-long timeline, with the birth of earth on one end and today at the other end.