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juin [17]
2 years ago
5

Calculate the number of subsets and the number of proper subsets for the set.

Mathematics
1 answer:
arlik [135]2 years ago
6 0

A set of n elements has 2ⁿ subsets. One of these subsets is the set itself, so this set would have 2ⁿ - 1 <em>proper</em> subsets.

The given set has 4 elements, so it has 2⁴ = 16 subsets and 2⁴ - 1 = 15 proper subsets.

Just to illustrate the claim, we have

• subsets of size 0 (1 of these):

{ } (empty set)

• subsets of size 1 (4 of these):

{1/6}, {1/7}, {1/8}, {1/9}

• subsets of size 2 (6 of these):

{1/6, 1/7}, {1/6, 1/8}, {1/6, 1/9}, {1/7, 1/8}, {1/7, 1/9}, {1/8, 1/9}

• subsets of size 3 (4 of these):

{1/6, 1/7, 1/8}, {1/6, 1/7, 1/9}, {1/6, 1/8, 1/9}, {1/7, 1/8, 1/9}

• subsets of size 4 (1 of these):

{1/6, 1/7, 1/8, 1/9}

and the last one is the only subset that is not a proper subset, because that subset = the set.

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3 years ago
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Answer: See below

Explanation:

3x - 4y = 13 (1)
2x + y = 5 (2)
——————
3x - 4y = 13
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——————-
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——————-
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x = 33/11
x = 3

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Thus, x = 3 and y = -1
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You are giving the following amounts: $190,258.50; $152,698.00; $122,753.00; $220,523.00; $231,951.00. What is the average of th
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Dan wants to collect data about the eating habits of his friends.
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A) What time of the day do my friends eat their biggest meal? 

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Answer:

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Step-by-step explanation:

<u>Given:</u>

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