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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS -EXERCISE 7 (a) Short Answer Type Questions
- Compute the following (i)5! (ii) 7 !
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- Compute the following (i) 7!-5! (ii) 4!-3! (iii) (9!-8!...
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- Compute the following (i) 2xx6!-3xx5! (ii) 3xx4!+7xx4!
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- Compute (12!)/((10)!(2)!).
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- Compute (20!)/(18!(20-18)).
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- Convert the following into factorials : (i) 2.4.6.8.10 (ii) 4...
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- (i) Compute 2!+3!. Is 2!+3!=5! ? (ii) Compute (8!)/(4!). Is (8!)...
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- Evaluate (n - r) !, when : (i) n=6, r=2 (ii) n=9, r=5
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- Evaluate (n!)/((n-r)!) when : (i) n=10,r=4 (ii) r = 1 (...
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- Evaluate (n!)/(r!(n-r)!) when : (i) n=6, r=2 (ii) n=7, r=4 ...
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- Find the L.C.M. of 3!, 4! And 5!.
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- (i) If (1)/(9!)+(1)/(10!)=(n)/(11!), find n. (ii) If (1)/(8!)+...
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- Prove that: n !(n+2)=n !+(n+1)!
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- (i) If (n+1)!=12[(n-1)!], find n (ii) If (n+2)!=60[(n-1)!], find ...
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- If (n !)/(2!(n-2!))a n d(n !)/(4!(n-4!)) are in the ratio 2:1 , find t...
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- Prove that (n!)/(r!(n-r)!)+(n!)/((r-1)!(n-r+1)!) =((n+1)!)/(r!(n-r+1...
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- Prove that there are exactly 4 ! Numbers between 1000 and 10000 that c...
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- Show that 2^(16) divides 32 !. Find the highest power of 2 that divide...
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