MBA Exam

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

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MBA Other Question

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
What is the remainder when 20! is divided by 2^20

1) I guess OA is 2^18, but thats not important, tell me how u did it...