If a given set has thirteen elements, how many of its subsets have somewhere from four...

Question

Question

If a given set has thirteen elements, how many of its subsets have somewhere from four through eight elements?

Answer 1

Answer #1

n = 13 to total number of elements.

For making subset of four elements ( m = 4 ) we have,

total subsets.

Note that here we use "=COMBIN(13,4)" this excel command.

For m = 5 m =6 , m = 7, m = 8, we have

subsets.

Add all them , so we get the final answer as

total subsets are = 715 + 1287 + 1716 + 1716 + 1287 = 6721

So final answer is as 6721

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Answer 2

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