Elitmus Exam Numerical Ability Permutation and Combination

C has taken a test for a music company.. there are 10 questions..by two artists he needs to answer which artist composed what music...
he doesn't the answers.. asked for hint from the examiner,he says if u answer 5 questions with composer A and rest by composer B.. you ll get 4 right...

then what is key combination for 1024.. (i couldn't remember it all....but it was something like this only)

a)22 b)10 other two options are two digit only starts with 1...

i dont recall

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Elitmus Other Question

amir has 3 desert every sunday...he stocked up 10 different chocolates and 12 diff icecreams,given that he never has same combination and doesn't 3 chocolates nor 3 icecreams,how many sundays it requires for his stock to be over?

a)1045 b)1200 c)2400 d)7200
T is set of {2,4,8,16,... 2^n} and S is a subset of T...
if two sum of no two elements of s is greater than 2^n-2.

let m be M number of elements in S..
what is the maximum value of M?