Vandermone’s SRSWR | MStat 2017 PSB Problem 3

Vandermone’s SRSWR | MStat 2017 PSB Problem 3

This is a beautiful problem form ISI MStat 2017 PSB Problem 3, where we use the basics of Bijection principle and Vandermone’s identity to solve this problem. Problem Consider an urn containing 5 red, 5 black, and 10 white balls. If balls are drawn without...
Let’s Permute | ISI MStat 2018 PSB Problem 3

Let’s Permute | ISI MStat 2018 PSB Problem 3

This problem is an easy application of the basic algorithmic ideas to approach a combinatorics problem using permutation and combination and basic counting principles. Enjoy this problem 3 from ISI MStat 2018 PSB. Problem Consider all permutations of the integers...
Shift the Curves | ISI MStat 2019 PSB Problem 1

Shift the Curves | ISI MStat 2019 PSB Problem 1

This problem is an easy application in calculus using the basic ideas of curve sketching. This is the problem 1 from ISI MStat 2019 PSB. Problem- curve sketching Let \(f(x) = x^{3}-3 x+k,\) where \(k\) is a real number. For what values of\(k\) will \(f(x)\) have three...