Suppose distinct numbers are chosen from nine integers to create a -digit number. Given that the digits chosen must consist of odd numbers and even numbers, how many distinct -digit numbers can be created?
3 red balls and blue balls are randomly placed in a row. What is the probability that no two red balls are adjacent?
Suppose a -digit number is created from distinct integers chosen among How many such -digit numbers include both and but neither begin nor end with
In Sue's Fruit & Flowers Market, there are different kinds of fruit, including peaches and apples. There are also different kinds of flowers, including roses and lilies. How many ways are there to make a gift basket such that the basket has different kinds of fruit including peaches and different kinds of flowers with no roses?
From a group of students including and , people are selected to be arranged in a line. If both and must be among the selected students, how many distinct line-ups are possible?