We want to find out in how many ways we can arrange the letters in the word FAMILY. To find the number of permutations of the letters in the given word, we can use the Fundamental Counting Principle.
Value of n
Number of choices for nth letter
1
6
2
5
3
4
4
3
5
2
6
1
Number of permutations
6* 5* 4* 3* 2* 1=720
Therefore, there are 720 ways we can arrange all of the letters in the word FAMILY.
We want to find out in how many ways we can arrange 2 of the letters in the word FAMILY. When arranging 2 letters of the given word, we have 6 choices for the first letter and 5 choices for the second letter. Let's use the Fundamental Counting Principle one more time!
6* 5 =30
Therefore, there are 30 ways we can arrange 2 of the letters in the word FAMILY.
