contestada

Find the number of positive three-digit integers whose digits are among 9, 8, 7, 5, 3, 1 in which none of the digits are the same.
15
120
216

Respuesta :

The number of permutations of [tex] m(0\leq m\leq n) [/tex] objects from [tex] n [/tex] objects is [tex] P(m,n)=\frac{n!}{(n-m)!} [/tex].

The number of ways of choosing 3 digits from 6 digits without replacement ( order is important) is [tex] P(6,3)=\frac{6!}{(6-3)!} =\frac{6!}{3!} =4*5*6=120[/tex]. This is the number of all possible permutations of choosing 3 from 6.

Correct choice is 120.

Answer:

c is the answer

Step-by-step explanation: