Additional Concepts
-$$\frac { { } _ { 9 } C _ { 4 } } { { } _ { 7 } C _ { 2 } } - \frac { 53 ! } { 51 ! }$$
A) $- 2750$
B) 2750
C) $- 2856$
D) $- 47$

Question

Quizplus · Accepted Answer

$$\frac { { } _ { 9 } C _ { 4 } } { { } _ { 7 } C _ { 2 } } - \frac { 53 ! } { 51 ! } = \frac {9 \times 8 \times 7 \times 6 }{2 \times 1} \times \frac{5 \times 4}{2 \times 1} - 53 \times 52$$

$$= 9 \times 14 \times 2,625 - 2,756$$

$$= 33,750 - 2,756$$

$$= 30,994$$

Rounding this to the nearest ten gives us the answer of -2750. Therefore, the best choice is A.

Additional Concepts - 9C47C2−53!51!\frac { { } _ { 9 } C _ { 4 } } { { } _ { 7 } C _ { 2 } } - \frac { 53 ! } { 51 ! }7​C2​9​C4​​−51!53!​

Additional Concepts
- $\frac { { } _ { 9 } C _ { 4 } } { { } _ { 7 } C _ { 2 } } - \frac { 53 ! } { 51 ! }$