1. How many ways are there to choose the collection of 12 coins from piles of nickels, pennies, quarters, dimes, and half-dollars? Base on the given condition
i) There are only ten coins in each pile.
ii) There are only ten coins in every pile and pick should have at least 1 penny and 2 nickels?
2. How many five digit briefcase combinations contain. 2 pairs of distinct digits and one other distinct digtit. For instance (12215).