I am new to the forum, and have joined because the following question has stumped me.

There are 11 balls in a bag numbered 0-11.

You get 6 picks out of the bag. Pull 1 ball, write down number, and put it back (ie interpreted as with repetition?).

If person 1 chooses 6 balls out of the bag, IE 123456, what is the probability that person 2 who chooses matches 6 balls, 5 balls, 4 balls etc, considering that order does not matter (ie, combination? 123456 = 6 correct, 654321 still equals 6 correct, whereas 123457 = 5 correct).

Greatly appreciate assistance with this problem which has me scrambling!!!

Many thanks!!