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Mathematics 21 Online
OpenStudy (yacoub1993):

Evaluate the expression.

OpenStudy (yacoub1993):

1 - (pic attached)

OpenStudy (anonymous):

Are you allowed to use the calculator on this?

OpenStudy (yacoub1993):

i am allowed

OpenStudy (anonymous):

OK, I can give you a formula, calculator is not necessary.\[n~~nPr~~r=~~n!/(n-r)!\]

OpenStudy (anonymous):

simplify each, top and bottom like this and do it.

OpenStudy (anonymous):

I'll show you....

OpenStudy (anonymous):

\[6~~P~~4=6!/4!=5 \times 6=30\]this is over,\[8~~P~~6=8!/6!=7 \times 8=56\]\[SO,~~~~~30/56=15/28\]

OpenStudy (anonymous):

if you don't understand, ask!

OpenStudy (yacoub1993):

what does ! stand for

OpenStudy (yacoub1993):

Another similar question Evaluate the factorial expression.

OpenStudy (anonymous):

\[4!=1 \times 2 \times 3 \times 4\]

OpenStudy (anonymous):

So if you have\[6!/4!=(1 \times 2 \times 3 \times 4 \times 5 \times 6)/(1 \times 2 \times 3 \times 4)= 5 \times 6\]\[bec ause~~"(1 \times 2 \times 3 \times 4)"~~~~can cel~~~out.\]

OpenStudy (anonymous):

Go over my work above, and tell me if you get it, OK?

OpenStudy (yacoub1993):

can you do the next question also

OpenStudy (anonymous):

Yes, but (please) post it in a separate question/thread.

OpenStudy (yacoub1993):

ok

OpenStudy (anonymous):

tnx for the medal.

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