How many words, with or without meaning can be made form the letter of the word MONDAY, assuming that no letter is repeated , if. all letters are used at a time.

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Solution

All letters used at a
time ; r = 6 .
Total letters in
Monday n = 6
Number of different words
$=^{n} P_{r} =^{6} P_{6}$
$= \frac{6!}{(6 - 6)!} = \frac{6!}{0!}$
$= \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{1}$
$= 720$ ways.

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How many words, with or without meaning can be made form the letter of the word MONDAY, assuming that no letter is repeated , if. all letters are used at a time.

All letters used at atime ; r = 6 .Total letters inMonday n = 6Number of different words=nPr=6P6=6!(6−6)!=6!0!=6×5×4×3×2×11=720 ways.

All letters used at a
time ; r = 6 .
Total letters in
Monday n = 6
Number of different words
$=^{n} P_{r} =^{6} P_{6}$
$= \frac{6!}{(6 - 6)!} = \frac{6!}{0!}$
$= \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{1}$
$= 720$ ways.