Question

How many permutations of the letters daniel do not begin with d or do not end with l?

Answer 1

Total permutations of the word DANIEL = 6! = 720

Permutations that start with D , end with L

D × × × × L

D (4) (3) (2) (1) L

= 4! = 24

Therefore,

Permutations that do NOT start with D or end with L are 720 - 24 = 696

NOTE : There comes a confusion with the wording. But, we can take the De Morgan's law and conclude that the 'or' symbolises the words that neither begins with D nor L

Hope this helps !!

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