For the following exercises, find the number of subsets in each given set. A set containing 5 distinct numbers, 4 distinct letters, and 3 distinct symbols

For the following exercises, find the number of subsets in each given set.

A set containing 5 distinct numbers, 4 distinct letters, and 3 distinct symbols

Expert Solution

Consider a set containing 5 distinct numbers, 4 distinct letters and 3 distinct symbols.

So, the number of elements in the given set is equal to

5 + 4 + 3 = 12

The formula for the number of subsets of a set is,

“A set containing n distinct objects has subsets.”

Substitute n = 12 in the formula, number of subsets of a set with 12elements will be,

2n = 212

= 4096

Therefore, the given set has 4096 subsets.

Junaid answered 1 year ago

For the following exercises, find the number of subsets in each given set. {a, b, c, … , z}

For the following exercises, find the number of subsets in each given set.{a, b, c, … , z}

Consider the following set of numbers: {3, 5, 2, 5, 5, 15, 2, 2, 4, 4,...

Consider the following set of numbers: {3, 5, 2, 5, 5, 15, 2, 2, 4, 4, 20, 4998, 4} 14. The Q3 of this set is: a. 4 b. 5 c. 2 d. 10 15. The Q1 of this set is: a. 4 b. 5 c. 2 d. 2.5 e. 3

Two numbers are in the ratio 3:5. When each of these numbers is increased by 10, their ratio becomes 5:7. Find the greater number.

For each data set below, find the following: a) The 5 Number Summary; b) The IQR...

For each data set below, find the following: a) The 5 Number Summary; b) The IQR c) The “Outlier Fences”; d) List any outliers e) Sketch the box plot 45,70,71,73,75,80,81,85,100

Within your family, find an example of a Universal set and at least 3 subsets of...

Within your family, find an example of a Universal set and at least 3 subsets of that universal set. Describe each sets with the roster method. What relationships exist between the subsets? (Find the union and intersection of the sets. Are any of the sets disjoint?) Represent the sets in a Venn diagram.

Consider the set of integers A = {1, 2, 3, 4, 5}. Pairs of numbers are...

Consider the set of integers A = {1, 2, 3, 4, 5}. Pairs of numbers are constructed where each number of the pair comes from set A. Construct the sampling distribution of sample ranges. Apply the Empirical Rule to this distribution.

5. For the function ?(?)=−3?^4 −12?^3 Find the domain and intercepts. Find the critical numbers, intervals...

5. For the function ?(?)=−3?^4 −12?^3 Find the domain and intercepts. Find the critical numbers, intervals where f (x) is increasing and decreasing, and any local maximum and local minimum points (find both coordinates). Find the intervals where f (x) is concave up and concave down and any inflection points (find both coordinates). Use this information to sketch the graph of f (x).

5. Let n = 60, not a product of distinct prime numbers. Let Bn= the set...

5. Let n = 60, not a product of distinct prime numbers. Let Bn= the set of all positive divisors of n. Define addition and multiplication to be lcm and gcd as well. Now show that Bn cannot consist of a Boolean algebra under those two operators. Hint: Find the 0 and 1 elements first. Now find an element of Bn whose complement cannot be found to satisfy both equalities, no matter how we define the complement operator.

Discrete Mathematics Find the number of subsets of S = {1, 2, 3, ... , 10}...

Discrete Mathematics Find the number of subsets of S = {1, 2, 3, ... , 10} that contain both 5 and 6. I know the answer is 2^8, however I have no idea how to go on to solve this problem.

Find the 5 number summary of the following set of data:11, 8, 12, 4, 7, 10,...

Find the 5 number summary of the following set of data:11, 8, 12, 4, 7, 10, 3, 15, 8, 8, 7 2. Find the standard deviation (s) for the following: 8, 9, 8, 5, 6.

Question