Self Maths Puzzle Numerical Ability Probability

Each face of a cubical dice is numbered with a distinct no from among the first six odd no, such that the sum of the two no on any pair of opposite sides is 12, if ten such dices r thrown simultaneously, then find the probability that sum of no that turn up is exactly 55

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Self Other Question

What is the max. Possible integer value of p if
7*8*9*.........*135=n*720^p

1. 30
2. 31
3. 32
4. 33
A can solve a problem is 6/7 and B solving the problem is 3/14. Assuming two events 'A can solve the problem' and 'B can solve the problem' r independent,,, probability that only one can solve the problem
Option
1. 3/28
2. 5/28
3. 9/28