how many 3 letters code words are possible using the first 10 letters of English alphabet if you can be repeated
Answers
Given :
Step-by-step explanation:
Single Letter word
Single letter can be selected in ¹⁰C₁= 10 ways
Letter is repeated thrice
3!/3! = 1 Way
Total = 10 Words
Two Letter Word
2 Letters can be selected in ¹⁰C₂= 45 ways
1st Letter is repeated twice or 2nd letter Repeated twice
3!/2! + 3!/2! = 3 + 3 = 6 ways
45 * 6 = 270 words
Three letter Words
3 Letters can be selected in ¹⁰C₃= 120 ways
3 letters can be arranged in 3! = 6 Ways
120 * 6 = 720 Words
10 + 270 + 720
= 1000
1000 words if repetition allowed
or Simply
each letter can be selected in 10 Ways
10 * 10 * 10
= 1000 Words
1000 words if repetition allowed
If repetition not allowed then 720 Words
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