HardMathematicsHigh School (11–12)Algebra › Permutations and CombinationsNumericalJEE MainBITSATWBJEEBoard Exam
All the arrangements of the letters of TIGER are listed in dictionary order…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
All the arrangements of the letters of TIGER are listed in dictionary order. In which place does TIGER itself stand?
Need a reminder? The key ideaShow
Together: glue the objects into one block, and multiply by the orders inside it. Never together: all arrangements minus the together ones. Fill restricted places first; a number cannot start with . The rank of a word is the number of words before it in dictionary order, plus .
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. First letter before T. Words starting with E, G, I or R: .
Step 2. T, then a letter before I. The letters left are E, G, I, R. E and G come before I: .
Step 3. TI, then a letter before G. The letters left are E, G, R. Only E comes before G: .
Step 4. TIG, then a letter before E. None: .
Step 5. Add. words come first.
Answer: TIGER is in place .
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