permutations and combinations Unit 6.1 #4,5 & N.R 1

A home owner wants to purchase two different chairs for the living room, one for in front of the fire place and one for in front of the bay window. An interior decorator arrives at 1 . the home with photos of several different chairs, and shows the owner all 20 possible arrangements. Photos of how many different chairs were shown to the home owner? Hint: This problem involves solving a permutation equation. 4. A hand of 5 cards is dealt from a standard deck of cards. The number of ways the hand could be made up of 1 King, 2 Queens, and 2 Aces is A . 144 B. 500 eis enough iser C. 576 D. 792 30-1 Hint: There are 4 of each type of card in a deck; 4 Kings, 4 Queens, 4 Aces, etc. m 5. From a group of 6 adults and 5 children, 5 people are to be selected to sing together. If, at determined using most, 4 adults can be selected, the total number of ways the group can be chosen can be A. 10 C's B. 11 5 - 6 Cs C . D. 6C4 X & Ci Hint: "At most" means that only zero, one, two, three, or four adults can be chosen