Provide an appropriate response.Discuss the differences, both in applications and in the formulas, for combinations and permutations. Give an example of each.

What will be an ideal response?


Answers will vary, but should include that events requiring combinations do not depend on order, whereas events requiring permutations do depend on order.

Mathematics

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Solve the problem.A barge takes 4 hours to move (at a constant rate) downstream for 32 miles, helped by a current of 2 miles per hour. If the barge's engines are set at the same pace, find the time of its return trip against the current.

A. 64 hr B. 8 hr C. 6 hr D. 4 hr

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Solve.If the velocity (in ft/s) of a particle is given by v = tan 2t, find the distance traveled as time t changes from 4.8 to 5.0 sec.

A. 0.080 ft B. 0.16 ft C. -0.095 ft D. 0.0077 ft

Mathematics

Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability.The second marble is blue given the first marble is red.

A.
B.
C.
D.

Mathematics

Find the slope and the y-intercept of the given line.7x + 9y = 73

A.
B. - 
C.
D. - 

Mathematics