SOLUTION: 1/ Find the number of different ways to draw a 5-card hand from a deck to have the following combinations:
a/ a heart flush
b/ two cards of one suit and three of another suit
Algebra ->
Permutations
-> SOLUTION: 1/ Find the number of different ways to draw a 5-card hand from a deck to have the following combinations:
a/ a heart flush
b/ two cards of one suit and three of another suit
Log On
Question 923880: 1/ Find the number of different ways to draw a 5-card hand from a deck to have the following combinations:
a/ a heart flush
b/ two cards of one suit and three of another suit
c/ two cards of one value and three of another value
2/How many 4-letter word sequences consisting of two vowels and two consonants can be made from the letters of the word PHOENIX if no letter is repeated?
I already solve these problem, but I dont know whether it correct or not.
Here is my answer:
1/ a/13C5 = 1287
b/13C2 * 39C3 = 22308
c/4C2 * 50C3 = 117600
2/ 3C2*4C2 = 18
If different please help me to show the answer step by step.
Please help me. I very appreciate !!!
You can put this solution on YOUR website! draw a 5-card hand
1) ways for a flush(4 suits): 4(13C5) = 5148 (Includes Royal Flush and Straight flushes)
2)ways for 2 of one suit and 3 of another: (13C2)(12C3)
3) ways for full house: (13C1)(4C3)(12C1)(4C2) = 3744
.......
word PHOENIX (7 letters: 3V, 4C)
How many 4-letter word sequences consisting of two vowels and two consonants
(3C2)(4C2)
