if you’re good with permutations in math 30 please help and answer this easy question below real answers only

determine the number of arrangements of 8 different letter arrangements that can be made using the letters of the word “ COMPUTER “ if all the consonants must be at the end

a) 24

b) 2880

c) 720

d) 40 320

Respuesta :

Answer:

Hello,

c) 720

Step-by-step explanation:

consonants : 5

5 x 4 x 3 x 2 x 1 = 120

other letters : 3

3 x 2 x 1 = 6

and 6 x 120 = 720

720 arrangements here