The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p, and c respectively. Of these subjects, the student has 75% chance of passing in at least one, a 50% chance of passing in at least two and a 40% chance of passing in exactly two. Following relations are drawn in m, p, c :

$$\left( I \right)\,p + m + c = {{27} \over {20}}$$

$$\left( {II} \right)\,p + m + c = {{13} \over {20}}$$

$$\left( {III} \right)\,\left( p \right) \times \left( m \right) \times \left( c \right) = {1 \over {10}}$$

Based on the given statements, select the most appropriate option to solve the given question.

If two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?

Statements:
(I) Each step is $${3 \over 4}$$ foot high.
(II) Each step is 1 foot wide.

Which of the following options is the closest in meaning to the sentence below?

She enjoyed herself immensely at the party.

Given set A = {2, 3, 4, 5} and Set B = {11, 12, 13, 14, 15}, two numbers are randomly selected, one from each set. What is probability that the sum of the two numbers equals 16?