I'm doing some data hwk and i got stuck at these, can anyone go about showing me how to solve these?

1) A Euchre deck has 24 cards: 9's, 10's, jacks, queens, kings, and aces from each of the four suits. If you were to deal out 5 cards from the deck, what is the probability that there would be a 10, jack, queen, king, and ace all from the same suit?

2) How many paths will spell pascal? ...i just realized that this isn't showing up the way i want it to when i post but it goes out like a triangle up to the C and then it closes back like a diamond

P

A A

S S S

C C C C

A A A

L L

I did this and i got 20 but i'm not sure if i'm right

3) A dart board contains 20 equal-sized sectors numbers 1 to 20. A dart is ramdomly tossed at the board 10 times. what is the probability that that dart lands in the sector labled 20 a total of 5 times.

I tried question 3 and i did this, can anyone tell me if i'm right?

(10C5)*[(1/20)^5]*[(19/20)^5)

Thanks