Question 5(a). How many words can be formed using letter of DEPARTMENT using each
letter at most once?
I) If each letter must be used,
ii) If some or all the letters may be omitted.
Anonymous:
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total no. of words when each letter is used is 907200
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thanks you so much.
wlcm
hi plzz help me for 2nd solution also
when all the letters are ommited then no word will be form
here it is mentioned some or all... plz chk
Answered by
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Answer:
907200 words
Given:
DEPARTMENT
To find:
How many words can be formed using letter of DEPARTMENT using each letter at most once?
I) If each letter must be used,
ii) If some or all the letters may be omitted.
Solution:
DEPARTMENT
No.of repeating words = 2 ( T, E)
No.of T = 2
No.of E = 2
Total no.of words = 10
= 10!/2! × 2!
= 10×9×8×7×6×5×4×3×2×1 / 2 * 2
= 907200
Conclusion:
The total number of words which can be formed by using the letters of DEPARTMENT is 907200.
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