a) 64C5
b) 63C4
c) 65C4
d) 63C5
Answer: b
Explanation: Let assume that there are 64 identical balls which are to be arranged in 5 different compartments (Since a, b, c, d, e are distinguishable) If the balls are arranged in a row
i.e., o, o, o, o, o, o . . . . (64 balls).
We have 63 gaps where we can place a wall in each gap, since we need 5 compartments we need to place only 4 walls.
We can do this in 63C4 ways.
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