Concept explainers
(a)
To find: The number ways in which a child can arrange the plastic objects she has in a row if each is a different color, where the child has 3 pyramids, 4 cubes and 7 spheres.
(b)
To find: The number of arrangements possible if objects of the same shape are to be grouped together and each object is a different color.
(c)
To find: The number of distinguishable ways in which the objects can be arranged if objects of the same shape are also the same color but need not be grouped together.
(d)
To find: The number of ways in which 3 objects can be selected, one of each shape, if the order in which the objects are selected does not matter.
(e)
To find: The number of ways in which 3 objects can be selected, one of each shape, if the order in which the objects are selected does matter and each object is a different color.
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