MBA Exam

Find the least value of mode{x-1}+mode{x-2}+mode{x-3}+...........+mode{x-99}

1) 0
2) 50
3) 1225
4) 2450

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MBA Other Question
In how many ways 16 different things can be distributed among 4 persons if each person gets at least three things?I got-- (16C12) * (12!/3!^4) * 4^4 * 4!---- is it right??

Seven different objects must be divided among three people. In how many ways can this be done if one or two of them must get no objects?

1) 381
2) 36
3) 84
4) 174
5) 180