HOW MANY WAYS THE LETTERS OF THE WORD MONDAY CAN BE ARRANGED
Ans:
They can be arranged in 720 ways. Here's how:
Each arrangement of the letters forms a 6-letter word (may not be a dictionary
word, but still a word).
The 1st letter can be any of the 6 letters of MONDAY (M O N D A Y)
The 2nd letter can be chosen in 5 ways (because one letter is already taken)
The 3rd letter can be chosen in 4 ways (because 2 letters are taken)
The 4th, 5th and 6th letters can be chosen in 3, 2 and 1 ways.
Hence the total number of combinations is 6*5*4*3*2*1 = 720, which is also
6! (Factorial 6)
In general, the number of rearrangements of n unique items is given by n!
Hope this helps.
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