70,602 questions

66,710 answers

875 comments

30,634 users

MathHomeworkAnswers.org is a free math help site for student, teachers and math enthusiasts. Ask and answer math questions in algebra I, algebra II, geometry, trigonometry, calculus, statistics, word problems and more. Register for free and earn points for questions, answers and posts. Math help is always 100% free.

Note: This site is intended to help students and non-students understand and practice math. we do not condone cheating. Users attempting to abuse the system will be permanently blocked from further use.

Most popular tags

algebra problems solving equations word problems calculating percentages geometry problems calculus problems fraction problems math trigonometry problems simplifying expressions rounding numbers solve for x order of operations pre algebra problems math problem evaluate the expression algebra slope intercept form factoring probability please answer this queastion as soon as possible. thank you :) please help me to answer this step by step. polynomials statistics problems how to find y intercept solving inequalities algebra 2 problems logarithmic equations equation of a line solving systems of equations by substitution plz. give this answer as soon as possible word problem sequences and series help dividing fractions greatest common factor graphing linear equations geometric shapes square roots substitution method factoring polynomials long division least common multiple 6th grade math solving systems of equations http: mathhomeworkanswers.org ask# solving equations with fractions function of x ratio and proportion standard form of an equation proving trigonometric identities trig identity least to greatest algebra problem solving equations with variables on both sides dividing decimals slope of a line through 2 points precalculus problems solving systems of equations by elimination help me domain of a function help me!! trinomial factoring college algebra algebraic expressions ( distributive property solving quadratic equations factors of a number i need help with this perimeter of a rectangle slope of a line limit of a function 8th grade math exponents fraction word problems equivalent fractions differentiation division how to find x intercept elimination method differential equation greater than or less than area of a triangle algebra 1 hw help asap geometry 10th grade simplifying fractions inverse function . 7th grade math geometry integral place value area of a circle simplify parallel lines standard deviation fractions solving triangles mixed numbers to improper fractions circumference of a circle solving linear equations width of a rectangle percentages scientific notation problems systems of equations containing three variables number of sides of a polygon lowest common denominator prime factorization solving systems of equations by graphing zeros of a function diameter of a circle length of a rectangle algebra word problems dividing polynomials story problems quadratic functions derivative of a function area of a rectangle mathematical proofs 5th grade math calculus vertex of a parabola homework evaluating functions converting fractions to decimals integers algebra 1 equation finding the nth term range of a function calculators greatest to least combining like terms perpendicular lines least common denominator unit conversion solve for y radius of a circle ordered pairs algebra 2 ) solving radical equations area word problems complex numbers functions slope calculus problem because i don't understand what is the answers? calculate distance between two points multiplying fractions common denominator 4th grade math set builder notation statistics simplifying radicals binomial expansion percents ratios round to the nearest tenth equation of a tangent line midpoint of a line absolute value help me please and show how to work it out geometry word problems #math show work math homework () median significant figures product of two consecutive numbers solve show every step to solve this problem adding fractions radicals divisibility rules graphing functions graphing 1 improper fractions to mixed numbers roots of polynomials please answer this question as soon as possible. thank you :) ? pre-algebra problems - factor by grouping number patterns volume of a cylinder subtracting fractions percentage rational irrational numbers place values how to complete the square simultaneous equations derivatives (explain this to me) decimals please help solving equations with variables numbers expanded forms http: mathhomeworkanswers.org ask# http: mathhomeworkanswers.org ask?cat=# multiplying polynomials maths sets mixed numbers average rate of change algebra1 integration divide need help solving quadratic equations by completing the square solving trigonometric equations surface area of a prism surface area of a cube implicit differentiation pemdas logarithms angles rounding decimals = dividing geometry problem rounding to the nearest cent reducing frations to lowest terms perimeter of a triangle matrices #help how do you solve this problem in distributive property age problem arithmetic sequences simplifying trigonometric equation using identities comparing decimals 9th grade math trigonometry mean lcm answer compound interest direct variation math vocabulary solving equations by factoring chemistry none factor writing in decimal form 5th grade math problems

calculate number of subsets for the set [5,17,3,19,6]

Contemporary math 1332
asked Sep 12, 2013 in Other Math Topics by anonymous




Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:

To avoid this verification in future, please log in or register.

1 Answer

I'll approach this answer assuming you have a calculator with an nCr button (we have 5 members in the set; if we want to know how many unique sets with 2 numbers per set then we enter for nCr 5C2 (5 choose 2). 5C2= 10.

This tells us there are 10 combinations of 2 in a set of 5.  In terms of position, the positions of the numbers are position 1,2,3,4,5.  Combinations of 2 include 1-2, 1-3, 1-4, 1-5, 2-3, 2-4, 2-5, 3-4, 3-5, 4-5; or 10 pairs.

To find the total number of subsets you need to find the number of subsets with 1 element, the number of subsets with 2 elements, ... 3 elements, 4 elements and 5 elements.

The total nuber of subsets of a 5 element set is

5C1 + 5C2 +5C3 + 5C4 +5C5  ; you normally add one more set to the answer to represent the empty set.

5C1 =5

5C2 = 10

5C3 =10

5C4 = 5

5C5 =1

The total number of subsets is 32, or 33 if you count the empty set
answered Feb 13 by anonymous

Related questions

1 answer 217 views
217 views asked Mar 19, 2013 in Algebra 1 Answers by anonymous
1 answer 24 views
1 answer 32 views
1 answer 26 views
26 views asked Aug 10 in Other Math Topics by Jay
0 answers 130 views
130 views asked Apr 2, 2013 in Algebra 1 Answers by anonymous
...