A father with eight children takes three at a time to the zoological garden, as often as he can without taking the same three children together more than once. How often will he go and how often will each child go?

A naughty boy Amrit watches a Sachin Tendulkar in-nings and acts according to the number of runs he sees Sachin scoring. The details of these are given below.

1 run      place a orange in the basket

2 runs    place a mango in the basket

3 runs    place a pear in the basket

4 runs    Remove a pear and a mango from the basket One fine day, at the start of the match, the basket is empty. The sequence of runs scored by Sachin in that innings are given as 11232411234232341121314. At the end of the above innings, how many more oranges were there compared to mangoes inside the basket? (The Basket was empty initially).

If m parallel lines in a plane are intersected by a family of n parallel lines, find the number of parallelograms that can be formed.