Four identical apples and four identical pears are arranged in a line. How many ways can this be done?
1 Answer
Oct 15, 2017
Explanation:
If we could distinguish the individual fruits then we could arrange them in
For any given arrangement, since we cannot distinguish the individual apples, we need to divide this figure by the number of ways that the apples could be rearranged without us noticing, i.e.
Similarly, we need to divide by
That leaves us with:
#(8!)/(4! 4!) = (8*7*6*5)/(4*3*2*1) = 70#
distinguishable arrangements.