There are 8 letters in the NATIONAL including 2 N’s and 2 A’s. We can use the permutation of repeated items
8!/(2!2!) = 10,080 (with no restriction)
(b) One “A” is fixed and cannot be included in the arrangement.
So there are only 7 letters including 2 N’s.
7!/2! = 2520
(c)One “T” and one “N” are fixed. Therefore, there are only 6 letters subject for arrangement including 2 A’s.
6!/2! = 360
Joel L.
tutor
Just follow the rules above. Once a letter is fixed, don’t include them in your arrangement. Look also for repeated letters.
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05/05/21
Elle T.
Thank you so much, what if the word was football, and for b) it would end with L and c) start with B and end L05/05/21