Compute (8!)/(4!). Is (8!)/(4!)= 2! ?...

Compute `(8!)/(4!)`. Is `(8!)/(4!)= 2!` ?

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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE

Convert the following into factorials : 4.5.6.7.8.9.10.11.
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Compute 2!+3!. Is 2!+3!= 5!?
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Compute (8!)/(4!). Is (8!)/(4!)= 2! ?
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Evaluate (n- r)!, when : n=6, r=2.
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Evaluate (n- r)!, when : n=9, r=5.
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Evaluate (n!)/((n-r)!) when : n= 10, r=4.
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Evaluate (n!)/((n-r)!) when : n=12, r=3.
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Evaluate (n!)/((n-r)!) , when n= 6, r= 2
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Evaluate (n!)/((n-r)!) , when n= 9,r= 5.
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Evaluate (n!)/((n-r)!) when : r= 1.
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Evaluate (n!)/((n-r)!) when : r=2.
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Evaluate (n!)/((n-r)!) when : r= 3.
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Evaluate (n!)/(r!(n-r)!) when : n=6,r=2 .
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Evaluate (n!)/(r!(n-r)!) when : n=7,r= 4.
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Evaluate (n!)/(r!(n-r)!) when : n= 15,r= 12.
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Find the L.C.M. of 4!, 5! and 6!.
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If 1/(9!)+1/(10!) =n/(11!), find n.
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If 1/(8!)+1/(9!) =x/(10!), find x.
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Prove that n! (n+2)=n!+(n+1)! .
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If (n+1)! = 12 [(n-1)!], find n.
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