Math Problem Statement
Prove that 1 3 + 2 3 + 3 3 + β― + π 3 = [ π(π+1) 2 ] 2 using mathematical induction. (ii) A team of 11 players is to be chosen from 15 members. In how many ways can this be done if (a) one particular player is always included? (b) two such players have always to be included?
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Mathematical Induction
Summation Formulas
Combinatorics
Formulas
1^3 + 2^3 + 3^3 + β― + n^3 = [n(n+1)/2]^2
Combinations: C(n, k) = n! / (k!(n-k)!)
Theorems
Binomial Theorem
Summation of Cubes Formula
Suitable Grade Level
Grade 11-12