bhumika.k.shah wrote:got it till the highlighted part.
next is what???
ajith wrote:bhumika.k.shah wrote:Please find the same attached.
The destination is 3up and 2 Left from the current place
Now its a matter of arranging 3Us and 2Ls
5!/3!*2! = 120/6*12 =10
Whenever an element is repeated in a permutation, we have to divide by (number of repetitions)!.
For example:
The number of ways to arrange the letters in the word SPEED is 5!/2! = 60. We divide by 2! to account for the 2 E's.
The number of ways to arrange the letters in the word RADAR is 5!/(2!*2!) = 30. We divide by 2! to account for the 2 A's and by another 2! to account for the 2 R's.
The number of ways to arrange the letters in the word MISSISSIPPI = 11!/(4!*4!*2!). We divide by 4! to account for the 4 S's, by another 4! to account for the 4 I's, and by 2! to account for the 2 P's.
In the problem above, we have to make 2 movements east and 3 movements north: EENNN. Any arrangement of the letters EENNN will yield a possible route.
Number of ways to arrange EENNN = 5!/(2!*3!) = 10.
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