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mylen [45]
3 years ago
9

Evaluate the expression: 20C4

Mathematics
1 answer:
True [87]3 years ago
7 0

Answer:

4845

Step-by-step explanation:

Given 20C4 this means  ₂₀C₄

Apply the formula for combinations without repetition

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

where

n is the number of things to choose from and r is what you choose from them

Given that ;

n=20

r=4

n-r=20-4=16

Insert values in the equation

20C4=\frac{20!}{16!*4!} \\\\\\=\frac{16!*17*18*19*20}{16!*4!} \\\\\\=\frac{17*18*19*20}{1*2*3*4} \\\\\\=17*19*15\\\\\\=4845

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