Question

Help me please ASAP

Answer 1

Answer: $\frac{5}{35}$

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

= $\frac{2_C_2\times 5_C_1}{7_C_3}$

= $\frac{\frac{2!}{2!0!}\times \frac{5!}{1!\times 4!}}{\frac{7!}{4!\times 3!}}$

= $\frac{1\times 5}{\frac{7\times 6\times 5\times 4!}{4!\times 6}}$

=  $\frac{5}{35}$

⇒ Third Option is correct.