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Mathematics 8 Online
bbourne974:

An art gallery has 11 vases. How many ways can 4 of the vases be arranged in the display window? Last one i need help with today

xhikari:

is there a picture to go with it?

bbourne974:

No its just that! An art gallery has 11 vases. How many ways can 4 of the vases be arranged in the display window? 330 840 5040 7920

Florisalreadytaken:

\[ x= \frac{\text{factorial } 11 }{ \text{factorial } (11-4) } \] \[ \ \ ~~~~~~~~~~~~~~~ \Updownarrow \] \[ x=\frac{11 \times 10\times 9\times 8\times7\times6\times5\times4\times3\times2}{7\times6\times5\times4\times3\times2} \] \[ \ \ ~~~~~~~~~~~ \Updownarrow \] \[ x=\frac{39916800 }{5040} \] \[ ~~~~~~~ \Updownarrow \] \[ \LARGE x=7920 \] which otpion would that be?

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