Moon question

allstar1
Astronauts on the Moon can jump so high because

1) they weigh less there than they do on Earth.
2) their mass is less there than it is on Earth
3) there is no atmosphere on the Moon

I believe the correct answer is 1, because they weigh less.

Choice 2 has got to be wrong since mass is always the same on Earth or moon. But I'm not so particularly sure about 3, there is no atmosphere on the moon but i don't know if that has any effect.

$$F=G\frac{m_p m}{r^2}$$
$$m_p$$
$$\frac{m_p}{r^2}$$