The number of subsets of a set is 2^number_elements_in_the_set.
The set {1, 2, 3, 4, 5, 6, 7} has 7 elements, thus it has 2^7 = 128 possible subsets.
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(1) 2 3 4 5 6 7 1,2 1,3 1,4 1,5 1,6 1,7 2,3 2,4 2,5 2,6 2,7 3,4 3,5 3,6 3,7 4,5 4,6 4,7 5,6 5,7 6,7 1,2,3 124,1,2,512,6,127 234 235 236 237 345 346 347 456 457 567 1234 1235 1236 1237 2345 2346 23457 3456 3457 1234567
A set with 9 elements has 2^9 = 512 subsets.
thenumber of subsets = 8formula: number of subsets =2n; wheren is thenumber of elements in the set= 2n= 23= 8The subsets of 1,2,3 are:{ }, {1}, {2}, {3}, {1,2}, {2,3}, {1,3}, {1,2,3}
How many subsets are there in 2 3 5 7 11 13 17 19 23?
It has 27 = 128 subsets.
The number of elements. A set with n elements has 2n subsets; for example, a set with 5 elements has 25 = 32 subsets.