1. Show that ( 4 marks) 15 15 16 + = 2 3 35. A jar contains 6 red marbles, 4 green marbles, and 5 yellow marbles. (4 marks) a) Determine the number of ways that any 4 marbles can be selected. b) Determine the number of ways to select 5 marbles where 3 are red and 2 are yellow. 6. Find the number of ways of arranging the word HAWKS if( 6 marks) a) There are no restrictions b) H must be the first letter c) KS must not be adjacent 7. Find the total number of paths that the checker can take to reach the bottom square marked with an X on the game board below, without going through the blacked-out square. Remember, the checker can only move down diagonally to the left or right one square at a time, using the white squares only. (4 marks) 8. The card game euchre uses only 24 cards. The nines, tens, jacks, queens, kings, and aces of each suit. Fivecard hands are dealt to the players. How many euchre hands contain a) Two kings b) Atleast two hearts. ( 6 marks)