i need the answer to finding the number of three letter permutations of the letters l,s,u,v,r
The 3-letter permutation would be obtained by choosing the first letter from 5 choices, the second from 4 choices, and the third from 3 choices.
By the rule of multiplication, the number of permutations is thus 5*4*3.
To find the number of three-letter permutations of the letters L, S, U, V, and R, you can use the formula for permutations, which is:
P(n, r) = n! / (n - r)!
In this case, we have 5 letters (n = 5) and we want to find the number of three-letter permutations (r = 3). Plugging the values into the formula, we have:
P(5, 3) = 5! / (5 - 3)!
= 5! / 2!
= (5 x 4 x 3 x 2 x 1) / (2 x 1)
= 120 / 2
= 60
Therefore, there are 60 three-letter permutations that can be formed using the letters L, S, U, V, and R.