In how many ways can Kwan line up her carvings of a duck, a gull, and a pelican on a shelf?
duck= d
gull= g
pelican= p
dgp, dpg, gdp, gpd, pdg, pgd
dgp,dpg,gdp,gpd,pdg,pgd
Dgp/Dpg/Gdp/Gpd/Pgd
To find the number of ways Kwan can line up her carvings of a duck, a gull, and a pelican on a shelf, we can use the concept of permutation.
Since Kwan has 3 carvings to line up, we have 3 positions on the shelf to fill.
In the first position, Kwan can choose any of the 3 carvings (duck, gull, or pelican) to place there. Therefore, she has 3 choices for the first position.
Once the first position is filled, there are only 2 remaining carvings to choose from for the second position. Therefore, she has 2 choices for the second position.
Finally, after filling the first two positions, there is only 1 remaining carving for the third position.
To find the total number of ways, we multiply the number of choices at each position: 3 * 2 * 1 = 6.
Therefore, there are 6 ways Kwan can line up her carvings of a duck, a gull, and a pelican on the shelf.