A jar has six red marbles four green marbles and five yellow ones

A) determine the number of ways in which any three marbles can be selected

B)Determine the number of ways to select four marbles where two are red and two and two are yellow

C) determine the number of ways in which six marbles can be selected where two are red two are green and two are yellow

in a card game using a normal deck of playing cards containing 52 cards , 13 cards are dealt to a player.

D)how many different combinations of cards are possible in the players hand? Leave your answer in factorial form .Show calculations

E)how many different hands are possible that consists of nine spades and four clubs? Leave your answer in factorial form.Show calculations

Use the quadratic formula to solve for N in : C (n,2)=45 Show your calculations