The number of distinct min heap are possible with keys 1, 2, 3, 4, 5 are ________.
I know, there are variance of this question for Max heap and even for Min heap, the answer won't change, but I just wanna know if my technique is right or not.
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Since it's a Min heap, the minimum value will be at root.
This will be the min heap as
o -------> root will be chosen in 1 way
/ \
o o
/ \
o o
-> Left sub tree will be **4C3*1*2** way as again root will get min value and left and right child can get any value.
-> Lastly the right sub tree => 1C1 = 1
Totally - 1*4C3*1*2*1 = 8. Is this approach correct?