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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
- 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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- If (n+2)! = 60 [(n-1)!], find n.
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- If (n+2)! =(2550)(n!), find n.
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- If (n!)/(2!(n-2)!):(n!)/(4!(n-4)!) =2:1. Find the value of n.
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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 co...
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- show that 2^16 divides 32!. also, find the largest value of n for whic...
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- There are five colleges in a city. In how many ways can a man send 3 o...
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- John wants to go abroad by ship and return by air. He has a choice of ...
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- There are 5 routes from place A to place B and 3 routes from place B t...
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- If there are 20 steamers plying between places A and B, in how many wa...
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