Question

Find the value of 20c16 - 19c16

Answer 1

Step-by-step explanation:

ind the Number of Possibilities 20 choose 16

20

C

16

Evaluate

20

C

16

using the formula

n

C

r

=

n

!

r

!

(

n

−

r

)

!

.

20

!

16

!

(

20

−

16

)

!

Subtract

16

from

20

.

20

!

16

!

(

4

)

!

Simplify

20

!

16

!

(

4

)

!

.

Answer 2

$\frac{20 \times 19 \times 18 \times 17}{4 \times 3 \times 2 \times 1} - \frac{19 \times 18 \times 17}{3 \times 2 \times 1} \\ \\ = > \frac{116280}{24} - \frac{5814}{6} \\ \\ = > 4845 - 969 \\ \\ = > 3876$

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