MBA Exam

In how many ways 18 identical balls can be put in 3 identical boxes. Easy question.. I want some easy way to solve it..

1) 190
2) 30
3) 37
4) None of these

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MBA Other Question

In ΔABC, D is the midpoint of BC. E is a point on AC such that AE : EC = 2 : 1 and F is a point on AB such that AF : FB = 3 : 1. Line segments AD and FE intersect at point O. What is the ratio of the area of ΔDOF to the area of ΔDOE?plzz share the approach as well

1) 8 : 9
2) 9:8
3) 3:4
4) 4:3
There are 6 identical oranges and 6 distinct apples..In how many ways can one choose 5 fruits containing atleast one apple and ateast one orange??

1) 56
2) 57
3) 60
4) 62