Answer:
There are 2,598,960 ways to receive 5 cards from a deck of 52.
Step-by-step explanation:
The order in which the cards are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

a. How many ways are there to receive 5 cards from a deck of 52?

There are 2,598,960 ways to receive 5 cards from a deck of 52.
Answer and Step-by-step explanation:
To solve, we would set the first number to x, and make an equation.
<u>Solve for x.</u>
x + (x - 6) + 3x = 69.
<u>Add and combine like terms.</u>
2x + 3x - 6 = 69
5x - 6 = 69
<u>Add 6 to each side of the equation.</u>
5x = 75
Divide by 5 to both sides.
x = 15
<u>The first number is 15.</u>
<u>The second number is (x - 6) = (15 - 6) = 9.</u>
<u>The third number is 3x = 3(15) = 45.</u>
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>
9x135 = 1,215
10x135 = 1,350
11x135 = 1,485
Therefore, your answer would be 10.