73,451 questions

72,073 answers

985 comments

49,951 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 problem trigonometry problems simplifying expressions rounding numbers solve for x order of operations pre algebra problems algebra evaluate the expression slope intercept form probability please answer this queastion as soon as possible. thank you :) factoring please help me to answer this step by step. plz. give this answer as soon as possible polynomials statistics problems word problem solving inequalities how to find y intercept algebra 2 problems logarithmic equations equation of a line solving systems of equations by substitution help sequences and series dividing fractions greatest common factor graphing linear equations square roots geometric shapes 6th grade math substitution method long division least common multiple factoring polynomials solving systems of equations http: mathhomeworkanswers.org ask# solving equations with fractions least to greatest standard form of an equation ratio and proportion function of x dividing decimals proving trigonometric identities algebra problem trig identity help me!! solving equations with variables on both sides precalculus problems ( slope of a line through 2 points help me domain of a function solving systems of equations by elimination algebraic expressions college algebra trinomial factoring distributive property i need help with this solving quadratic equations factors of a number perimeter of a rectangle slope of a line greater than or less than division 8th grade math limit of a function fraction word problems exponents differentiation equivalent fractions differential equation how to find x intercept elimination method algebra 1 hw help asap simplifying fractions inverse function geometry 10th grade area of a triangle 7th grade math . geometry area of a circle simplify algebra word problems standard deviation integral place value parallel lines fractions solving triangles systems of equations containing three variables mixed numbers to improper fractions width of a rectangle circumference of a circle percentages solving linear equations scientific notation problems story problems number of sides of a polygon zeros of a function prime factorization area of a rectangle 5th grade math homework solving systems of equations by graphing diameter of a circle lowest common denominator length of a rectangle quadratic functions mathematical proofs dividing polynomials derivative of a function vertex of a parabola calculus integers what is the answers? algebra 1 converting fractions to decimals evaluating functions equation math algebra 2 perpendicular lines finding the nth term range of a function ordered pairs combining like terms calculators least common denominator unit conversion greatest to least solve for y radius of a circle complex numbers ) solving radical equations slope area word problems functions calculus problem because i don't understand calculate distance between two points multiplying fractions 4th grade math statistics common denominator ratios math homework absolute value geometry word problems set builder notation binomial expansion percents help me please and show how to work it out round to the nearest tenth simplifying radicals #math significant figures equation of a tangent line midpoint of a line product of two consecutive numbers radicals show work please answer this question as soon as possible. thank you :) () adding fractions median solve show every step to solve this problem graphing pre-algebra problems divisibility rules graphing functions number patterns place values - roots of polynomials factor by grouping 1 improper fractions to mixed numbers maths percentage decimals (explain this to me) volume of a cylinder derivatives ? subtracting fractions expanded forms rational irrational numbers how to complete the square simultaneous equations sets numbers solving equations with variables comparing decimals need help = http: mathhomeworkanswers.org ask?cat=# please help solving quadratic equations by completing the square multiplying polynomials implicit differentiation http: mathhomeworkanswers.org ask# surface area of a prism pemdas integration angles divide age problem rounding decimals perimeter of a triangle mixed numbers average rate of change algebra1 #help compound interest solving trigonometric equations surface area of a cube chemistry logarithms trigonometry how do you solve this problem in distributive property rounding to the nearest cent 9th grade math matrices dividing answer factor find out the answer geometry problem reducing frations to lowest terms arithmetic sequences direct variation mean lcm measurement probability of an event simplifying trigonometric equation using identities none

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, 2014 by anonymous

Related questions

1 answer 283 views
283 views asked Mar 19, 2013 in Algebra 1 Answers by anonymous
1 answer 27 views
27 views asked Jun 3, 2014 in Other Math Topics by nicole
1 answer 41 views
1 answer 35 views
35 views asked Aug 10, 2014 in Other Math Topics by Jay
0 answers 154 views
154 views asked Apr 2, 2013 in Algebra 1 Answers by anonymous
...