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jeny89
17.11.2020 •
Mathematics
Name: Joe
Wednesday
Sandra is traveling 20 mph on her bicycle. After 4 hours, how far will she have traveled?
Solved
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Ответ:
is 300 an answer? If not let me know then I'll correct it.
Step-by-step explanation:
Ответ:
# sequences = 10,200
Step-by-step explanation:
- If we order the 5-card hand from highest number to lowest, the first card
may be one of the following: ace, king, queen, jack, 10, 9, 8, 7, 6, or 5.
- There are 10 possibilities:
- After the first card, the numbers showing on the remaining four cards are completely determined.
- If we allow flushes, including royal flushes, there are four possible suits for each of the cards. (Note that this holds because the cards all show different numbers, and there are four suits for each number.)
# straights = 10·4C1·4C1·4C1·4C1·4C1 = 10·45 = 10,240
- The number of straight flushes we get:
There are 9 possibilities. After the first card, whose suit we may choose in 4 ways, the remaining cards are completely determined.
# straight flushes = 9 4C1 = 9·4 = 36
- The number of royal flushes we get:
If we order the 5-card hand from highest card to lowest, the first card will be an ace. There are four possible suits for the ace. After that, the other
four cards are completely determined. Thus, there are 4 possible royal
flushes:
# royal flushes = 4C1 = 4
- Subtracting the number of straight flushes and royal flushes. Hence, we have:
# sequences = 10,240 - 36 - 4
# sequences = 10,200