The Grand Lotto 6/55 is a lottery game where players choose six numbers from a pool of 55 numbers. To calculate the number of combinations in this game, we can use the formula for calculating combinations, which is given by:
C(n, r) = n! / (r!(n-r)!)
where n is the total number of items to choose from (55 in this case), and r is the number of items to choose (6 in this case).
Using this formula, we can calculate the number of combinations for the Grand Lotto 6/55 as follows:
C(55, 6) = 55! / (6!(55-6)!) = 55! / (6!49!)
Here, the exclamation mark (!) denotes the factorial function, which means multiplying a number by all the positive integers less than it down to 1.
Calculating the factorial of 55:
55! = 55 × 54 × 53 × … × 3 × 2 × 1
Similarly, calculating the factorial of 6 and 49:
6! = 6 × 5 × 4 × 3 × 2 × 1 49! = 49 × 48 × 47 × … × 3 × 2 × 1
Substituting these values into the formula:
C(55, 6) = 55! / (6!49!) = (55 × 54 × 53 × … × 3 × 2 × 1) / ((6 × 5 × 4 × 3 × 2 × 1) × (49 × 48 × 47 × … × 3 × 2 × 1))
Calculating this expression gives us the total number of combinations in the Grand Lotto 6/55.
How many combinations are there in Grand Lotto 6/55? - Article Content Statement
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