suncoastvirtuaoyk93u suncoastvirtuaoyk93u
  • 23-08-2020
  • Mathematics
contestada

How many subsets are there of the set N = {1, 42, 65, 12, 31, 27}?

Respuesta :

TheAnimeGirl
TheAnimeGirl TheAnimeGirl
  • 23-08-2020

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{64}}}}}[/tex]

Step-by-step explanation:

If ' n ' is the cardinal number of a set, the number of subsets of a given set can be obtained by using the formula 2ⁿ

Given,

N = { 1 , 42 , 65 , 12 , 31 , 27 }

where n ( total number of elements ) = 6

So, the number of possible subsets of set N :

= 2ⁿ

= 2⁶

= 2 × 2 × 2 × 2 × 2 × 2

= 64

Hope I helped!

Best regards!!

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