Answer: [tex]\frac{5}{35}[/tex]
Step-by-step explanation:
Since, the total number of contestant = 7,
Thus, the probability that out of 3 contestant, me and my friend is chosen
= [tex]\frac{2_C_2\times 5_C_1}{7_C_3}[/tex]
= [tex]\frac{\frac{2!}{2!0!}\times \frac{5!}{1!\times 4!}}{\frac{7!}{4!\times 3!}}[/tex]
= [tex]\frac{1\times 5}{\frac{7\times 6\times 5\times 4!}{4!\times 6}}[/tex]
= [tex]\frac{5}{35}[/tex]
⇒ Third Option is correct.
