Permutations and Combinations Ms. A-FI Thomas, MAED-CI 9th Grade Academy Coordinator Albany High Honors, Law and Multi-media Magnet School

Instructions Review the presentation. There are 5 slides which ask for your input. Answer the questions, print the slides, and submit them for a recovery grade. Make sure your name is on your work.

Did You Know? Horticulturist create many different hybrid varieties of plants. Among them is the Asoscenda, a mixture of ascocendum orchids with vanda orchids. (Orchids Asia, 2005)

Scenario1 Suppose you are looking to purchase 5 varieties of the hybrid from Orchid’s Asia, which carries 19 varieties of the plant.

How many combinations would you have to choose from?

Orchid Asia’s Selection of Hybrids lawrenceae x V. Dr. Anek Anan Gold Bicentennial Fuchs Gold Fuchs Harvest Moon x Guo Chia Long Peggy Foo Princess Mikaso Blue

Ascda. Princess Mikaso Pink Fortune East Sufan Beauty Suksamran Sunlight YipSum Wah. Lenachai

Tubtim Velvet x Yip Sum Wah Tubtim Velvet x Rhy. coelestis Udomchai Gold lawrenceae x. Yip Sum Wah Wilas Yeo Geck Bee

But what about color preferences? Determine the number of Permutations using 3 of your favorite colors.

Comparisons What were the differences in the answers? Why?

Scenario 2

Let’s Go Shoe Shopping! S H O E

Scenario 2 You are shoe shopping for family members for Christmas. You are tasked with purchasing for 2 men and 2 women. You must purchase from the particular styles shown on the previous slide. You must buy each person 1 pair of shoes.

How So? How many different color combinations can you purchase for the women? Men? Total?

References Orchids Asia (2005). Hybrid Orchids. Retrieved March 18, 2010 from www.orchidsasia.com/