The number of permutations of the word 'SUNDAY' without beginning with 'S' and without ending with 'Y'is:

696

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624

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604

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504

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Solution

The correct option is D $696$

There are six different letters in the word "SUNDAY" and they can be arranged among themselves $6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 720$ ways.
therefore , Number of words beginning with $S$ and ending with $Y = 4! = 4 \times 3 \times 2 \times 1 = 24$ ways
Therefore, Number of words beginning without $S$ and without $Y$ = $720 - 24 = 696$ ways

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