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 :

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

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

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

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

She enjoyed herself immensely at the party.

Which of the following combinations is incorrect?

The given statement is followed by some courses of action. Assuming the statement to be true, decide the correct option.

Statement:
There has been a significant drop in the water level in the lakes supplying water to the city.

Course of action:
(I) The water supply authority should impose a partial cut in supply to tackle the situation.
(II) The government should appeal to all the residents through mass media for minimal use of water.
(III) The government should ban the water supply in lower areas.