lucy wants to arrange 4 dolls on the shelf,one from spain,a doll from china,one from indonesia and one from mexico.how many different ways are there?
The first spot you have 4 choices
The second spot you have 3 choices
The third spot you have 2 choices
The fourth spoty you have 1 choice.
4 times 3 times 2 times 1 = 24 different ways since order matters
24
Correct! There are 24 different ways to arrange the dolls on the shelf.
To find the number of different ways Lucy can arrange the 4 dolls on the shelf, you can use the concept of permutations. In permutations, the order of the objects matters.
Since Lucy has four dolls, there are four potential positions for the first doll on the shelf. Once the first doll is placed, there are three remaining positions for the second doll, two remaining positions for the third doll, and one remaining position for the fourth doll.
To calculate the total number of arrangements, we need to multiply the number of options at each step. Therefore, the number of arrangements can be calculated as follows:
4 x 3 x 2 x 1 = 24
So, there are 24 different ways Lucy can arrange the 4 dolls on the shelf.