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Sagot :
Answer: 64
Explanation:
If there are n = 6 items in the set, then there are 2^n = 2^6 = 64 subsets
This is because there are 2 choices per slot. Either the item is in the subset or not. Since we have 6 slots, and 2 choices per slot, we have (2*2*2)*(2*2*2) = 2^6 = 64 different combos.
Side note: The empty set is included as one of the subsets. Also, the original set itself is a subset.
Answer:
64
Step-by-step explanation:
For a set with n elements, there are 2n subsets.
In this case, # of subsets =26=64
∅,
{1},{2},{3},{4},{5},{6},
{1,2},{1,3},{1,4},{1,5},{1,6},{2,3},{2,4},{2,5},{2,6},{3,4},{3,5},{3,6},{4,5},{4,6},{5,6},
{1,2,3},{1,2,4},{1,2,5},{1,2,6},{1,3,4},{1,3,5},{1,3,6},{1,4,5},{1,4,6},{1,5,6},{2,3,4},{2,3,5},{2,3,6},{2,4,5},{2,4,6},{2,5,6},{3,4,5},{2,4,6},{3,5,6},{4,5,6},
{1,2,3,4},{1,2,3,5},{1,2,3,6},{1,2,4,5},{1,2,4,6},{1,2,5,6},{1,3,4,5},{1,3,4,6},{1,3,5,6},{1,4,5,6},{2,3,4,5},{2,3,4,6},{2,3,5,6},{2,4,5,6},{3,4,5,6},
{1,2,3,4,5},{1,2,3,4,6},{1,2,3,5,6},{1,2,4,5,6},{1,3,4,5,6},{2,3,4,5,6},
{1,2,3,4,5,6}
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