alleydog20981 alleydog20981
  • 21-09-2020
  • Mathematics
contestada

How many distinct proper subsets are there of the set N = {10, 50, 63, 15, 40, 55}?

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 23-09-2020

Answer:

[tex]Proper\ Subset = 63[/tex]

Step-by-step explanation:

Given

[tex]N = \{10, 50, 63, 15, 40, 55\}[/tex]

Required

Determine the proper subsets

This is calculated by:

[tex]Proper\ Subset = 2^n - 1[/tex]

Where n is the number of elements in the set.

In this case,

[tex]n = 6[/tex]

So:

[tex]Proper\ Subset = 2^n - 1[/tex]

[tex]Proper\ Subset = 2^6 - 1[/tex]

[tex]Proper\ Subset = 64- 1[/tex]

[tex]Proper\ Subset = 63[/tex]

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