What has hands, but can’t clap?

What is the below Rebus indicate?

There are 2 people near the river and both of them want to get on the other side. The boat can only take one of them. But they got across.
How?

Two batsman each on 94 runs. Seven runs needed to win in last 3 balls. Both make 100*. How?

Four people need to cross a rickety bridge at night. Unfortunately, they have only one torch and the bridge is too dangerous to cross without one. The bridge is only strong enough to support two people at a time. Not all people take the same time to cross the bridge. Times for each person: 1 min, 2 mins, 7 mins and 10 mins. What is the shortest time needed for all four of them to cross the bridge?

In two decks of cards, what is the least amount of cards you must take to be *guaranteed* at least one four-of-a-kind?

It comprises roots which nobody sees,
Much taller than those trees,
Up and up it goes,
Still it never grows?

Rob is taller than Edwin, and Jurgen is shorter than Rob.
Of only one of the following statements, we now certainly know it is correct:

A.Edwin is taller than Jurgen
B.Jurgen is taller than Edwin
C.It cannot be determined if Jurgen or Edwin is the tallest.

I ask Joseph to pick any 5 cards out of a deck with no Jokers.

He can inspect then shuffle the deck before picking any five cards. He picks out 5 cards then hands them to me (Jack can't see any of this). I look at the cards and I pick 1 card out and give it back to Joseph. I then arrange the other four cards in a special way, and give those 4 cards all face down, and in a neat pile, to Jack.

Jack looks at the 4 cards i gave him, and says out loud which card Joseph is holding (suit and number). How?

The solution uses pure logic, not sleight of hand. All Jack needs to know is the order of the cards and what is on their face, nothing more.

Can you solve below mathematical equation?

2^1234 - 2^1233