Ten different colored blocks are in a box How many different

Ten different colored blocks are in a box. How many different color arrangements taking three blocks at a time can be made on a table? (Note: Order makes a different arrangement.) Hint: Permutation of 10 taking 3 at a time. Use algebra formula or TI83.

Solution

This is example of permutation.

from 10 different color blocks, arrangement of three blocks are as follows:

for first position, number of ways : 10

for second position, number of ways: 9

for third position, number of ways: 8

Total number of arrangements = 10*9*8 = 720