A company manufactures pencils in boxes of 6, 9, and 20. The boxes are sealed and the pencilscannot be sold loose. What is the largest number of pencils that a wholesaler cannot purchaseusing some combination of these boxes?

How many 5-digit numbers greater than 60,000 are possible involving the digits 6, 3, 0, 4 and 6 and using only the digits given?

Ashish is given Rs 158 in one rupee denomination. He has been asked to allocate them into a number of bags such that any amount required between Re 1 and Rs 158 can be given by handing out a certain number of bags without opening them. What is the minimum number of bags required