n some problems of occupancy theory we are concerned with the number of ways in which certain indistinguishable objects can be distributed among individuals, urns, boxes, or cells. Find an expression for the number of ways in which r indistinguishable objects can be distributed among n cells, and use it to find the number of ways in which a baker cam sell five indistinguishable) loaves of bread of three customers. (Hint: we might argue that L|LLL|L represents the case where the three customers buy one loaf, three loaves, and one loaf, respectively, and LLLL||L represents the case where the three customers buy four loaves, none of the loaves and one loaf. Thus, we must look for the number of ways in which we can arrange the five L’s and the two vertical bars.)
In some problems of occupancy theory we are concerned with the number of ways
in which certain indistinguishable objects can be distributed among individuals, urns,
boxes, or cells. Find an expression for the number of ways in which r indistinguishable
objects can be distributed among n cells, and use it to find the number of ways in which
a baker cam sell five indistinguishable) loaves of bread of three customers. (Hint: we
might argue that L|LLL|L represents the case where the three customers buy one loaf,
three loaves, and one loaf, respectively, and LLLL||L represents the case where the
three customers buy four loaves, none of the loaves and one loaf. Thus, we must look
for the number of ways in which we can arrange the five L’s and the two vertical bars.)
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