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meriva
3 years ago
15

To win a loto in one state, one must correctly select 7 numbers from a collection of 48 numbers (1 through 48). The order in whi

ch the selection is made does not matter. How many different selections are possible?
Mathematics
1 answer:
liq [111]3 years ago
8 0

Answer:

48C7=73,629,072\ ways

Step-by-step explanation:

Since the order in which you select the numbers is not important then we have a combination problem

The formula of combinations is:

nCr=\frac{n!}{r!(n-r)!}

Where n is the number of objects you can choose, and you choose r from them

Then you will get the number of possible ways to select r objects from a group of n objects

In this case we have that:

n=48\\\\r=7

Therefore:

48C7=\frac{48!}{7!(48-7)!}

48C7=\frac{48!}{7!*41!}

48C7=\frac{48*47*46*45*44*43*42*41!}{7*6*5*4*3*2*1*41!}

48C7=\frac{48*47*46*45*44*43*42}{7*6*5*4*3*2*1}

48C7=73,629,072\ ways

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