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Alina [70]
3 years ago
14

Many poker games start with each player being dealt five cards, called the player's "hand". Remember, there are 52 cards in a st

andard deck of cards. How many different hands without repetition are there if each player is dealt five cards?
Mathematics
1 answer:
jek_recluse [69]3 years ago
5 0

Answer:

The number of different possible poker hands is found by counting the number of ways that 5 cards can be selected from 52 cards, where the order is not important. It is a combination, so we use c n r

Step-by-step explanation:

The possible number of the poker hands is probably . C 52 5= 52!/5!x47!= 2598960

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A president, treasurer, and secretary, all di erent, are to be chosen from a club consisting of 12 people (whose names are I, J,
Ierofanga [76]

Answer:

There are 220 choices

Step-by-step explanation:

Given

People = 12

Selection =3 (President, Treasurer and Secretary)

Required

Determine number of selection (if no restriction)

This is calculated using the following combination formula:

^nC_r = \frac{n!}{(n - r)!r!}

Where

n = 12

r= 3

So, we have:

^nC_r = \frac{n!}{(n - r)!r!}

^{12}C_3 = \frac{12!}{(12 - 3)!3!}

^{12}C_3 = \frac{12!}{9!3!}

^{12}C_3 = \frac{12*11*10*9!}{9!3!}

^{12}C_3 = \frac{12*11*10}{3!}

^{12}C_3 = \frac{12*11*10}{3*2*1}

^{12}C_3 = \frac{12*11*10}{6}

^{12}C_3 = 2*11*10

^{12}C_3 = 220\ ways

<em>There are 220 choices</em>

8 0
2 years ago
Show by substitution whether the number r is a solution of the corresponding quadratic equation.
Stels [109]

Answer:

It's choice B.

Step-by-step explanation:

When r= -11,

x^2 + 8x - 33 =  (-11)^2 - 88 - 33

= 121 - 88 - 33

= 0

- so x = -11 gives a zero value and is a solution to the equation.

3 0
2 years ago
Y=3x + 4<br>What is the slope?​
slega [8]

Answer:

3

Step-by-step explanation:

In a slope intercept linear equation, the slope is always the number in front of the x value in an equation like y = mx + b.

So the slope is the 3 in front of the x value.

6 0
2 years ago
A rain barrel is full of water and used to water the garden. The rain barrel loses water at the rate 2.5 gallons of water per mi
soldier1979 [14.2K]
Answer: <span>y - 37.5 = 2.5 ( x - 7)

Explanation:

1) The point-slope form is has this form:

 y - y1 = m (x - x1)

Where m is the slope or rate of change and x1, y1 are the coordinates of the point.

2) you are told that the the rate of change of water (m) is 2.5

m = 2.5

3) The point is given by that after 7 min the rain barrel contains 37.5 gallons. This is:

x1 = 7
y1 = 37.5

</span>4) Replace those value in the point-slope model:

y - 37.5 = 2.5 ( x - 7)

That is the point-slope model or equation.

4 0
3 years ago
Find the largest number which divides 149 and 101 , leaving remainder of 5
erik [133]
The answer to this problem is 48.
8 0
3 years ago
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