How many words, with or without meaning can be made form the letter of the word MONDAY, assuming that no letter is repeated , if $4$ letters are used at a time.

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Solution

Total number of
alphabets in monday = 6
Hence n = 6
If 4 letters are used
at a time;
r = 4
Number of different
words = $^{n} P_{r}$
$=^{6} P_{4}$
$= 6! / (6 - 4)!$
$= \frac{6!}{2!} = 6 \times 5 \times 4 \times 3$
$= 360$ 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 4 letters are used at a time.

Total number ofalphabets in monday = 6Hence n = 6If 4 letters are usedat a time;r = 4 Number of differentwords = nPr=6P4=6!/(6−4)!=6!2!=6×5×4×3=360 ways.

How many words, with or without meaning can be made form the letter of the word MONDAY, assuming that no letter is repeated , if $4$ letters are used at a time.

Total number of
alphabets in monday = 6
Hence n = 6
If 4 letters are used
at a time;
r = 4
Number of different
words = $^{n} P_{r}$
$=^{6} P_{4}$
$= 6! / (6 - 4)!$
$= \frac{6!}{2!} = 6 \times 5 \times 4 \times 3$
$= 360$ ways.