Permutations with repetitions n objects of which p are alike and q are alike

PERMUTATIONS

How many different ways can letters of each word be arranged 1. trigonometry 2. algebra 3. probability

Arrange objects 2 red lights, 4 yellow lights, 5 blue lights, 1 green light, and 2 white lights How many ways can you arrange on a string of lights?

How many different zip codes can have the digits 2, 8, 3, 3, 3?

Circular permutations If n objects are arranged in a circle, then there are or

Circular permutation turned linear If n objects are arranged relative to a fixed point, then there are n! permutations. In other words, circular arrangements with fixed points of reference are treated as linear permutations. n!

Circular or Linear How many arrangements? 1.Nine bowls of food are placed on a revolving tray in the center of the table. 2.Seven people are to be seated at a round table where one person is seated next to the window.

Circular or Linear 3. 8 jewels on a necklace 4. 5 beads strung on a string in a square pattern relative to a knot in the string gondolas on a Ferris wheel 6. a stack of 6 pennies, 7 dimes, and 10 quarters

Circular or Linear 7. 6 houses of a cul-de-sac relative to the incoming street 8. 5 points on a circle, how many ways can the points be named on the circle using the letters A-E? 9. 5 points on a circle, named A-E, relative to the point on the x-axis, how many arrangements are possible?

Worksheet 13.2 odd