MBA Exam

Find the number of ways in which a selection of 4 letters can be made from letters of the word "DISTILLATIONS".
Plz explain.

1) 157
2) 167
3) 169
4) 164

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MBA Other Question

There are five fruits - Banana, Apple, Orange, Pear and Mango - which are to be served among six boys. If no fruit can be served to more than one boy, and the fruits are served randomly, find the probability that all the five fruits were served to exactly three boys.PLEASE EXPLAIN THE APPROACH..this is an AIMCAT QUESTION.

1) 5/8
2) 25/54
3) 55/108
4) 125/324
Which of the following cannot be the sum of squares of 12 consecutive odd natural numbers ?

1) 2300
2) 2924
3) 3644
4) 4356