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pashok25 [27]
3 years ago
8

-15 + 8x = x+3 Help me please!!

Mathematics
1 answer:
Amanda [17]3 years ago
4 0
Take the x and -15 over,

7x=18

then divide by 7,

x=18/7

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a) 182 possible ways.

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C_{n,x} = \frac{n!}{x!(n-x)!}

In this question, we have that:

There are 52 total cards, of which:

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13 are diamonds.

13 are hearts.

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(a)Two-pairs: Two pairs plus another card of a different value, for example:

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T = 2C_{13,2} + C_{26,1} = 2*\frac{13!}{2!11!} + \frac{26!}{1!25!} = 182

So 182 possible ways.

(b)Flush: five cards of the same suit but different values, for example:

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So 5148 possible ways.

(c)Full house: A three of a kind and a pair, for example:

4 combinations of 3 from a set of 13(three of a kind ,c an be all possible kinds).

3 combinations of 2 from a set of 13(the pair, cant be the kind chosen for the trio, so 3 combinations). So

T = 4*C_{13,3} + 3*C_{13.2} = 4*\frac{13!}{3!10!} + 3*\frac{13!}{2!11!} = 1378

So 1378 possible ways.

(d)Four of a kind: Four cards of the same value, for example:

4 combinations of 4 from a set of 13(four of a kind, can be all spades, all diamonds, and hearts or all clubs).

1 from the remaining 39(do not involve the kind chosen above). So

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So 2899 possible ways.

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Answer:

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