Permutation and Combination

Permutation and combination are two important concepts in combinatorics, the branch of mathematics that deals with counting and arranging objects. They are often used in probability and statistics, as well…

Problem 1009

Let p, q, and r represent the following simple statements: p: I lie on the sofa. q: I take a nap. r: I go jogging. Write the following compound statement…

Problem 964

Given the annual interest rate and the compounding period, find I, the interest rate per compounding period. 3.4% compounded quarterly.   Solution:-   The interest rate per compounding period is…

Problem 743

In a family with 8 children, excluding multiple births, what is the probability of having 8 girls? Assume that a girl is as likely as a boy at each birth.…

Problem 735

Write the arithmetic sequence that has three arithmetic means between -16 and 16.   Solution:-   an  and a1 are given. Find the common difference by using the explicit formula for arithmetic…