Answer:
The corresponding value of [tex]C_3[/tex] will change from 10 to 16.
Step-by-step explanation:
The given relation between [tex]C_{3}[/tex] and [tex]A_2[/tex] is [tex]C_3 = 2\times A_2[/tex] ........... (1)
Now, the value of [tex]A_2[/tex] is changed from 5 to 8.
So, for [tex]A_2 = 5[/tex], we have, [tex]C_3 = 2 \times 5 = 10[/tex] and for [tex]A_2 = 8[/tex], we have, [tex]C_3 = 2 \times 8 = 16[/tex] {From equation (1)}
Therefore, the corresponding value of [tex]C_3[/tex] will change from 10 to 16. (Answer)