How many 3 digit motorcycle plate can be created using the numbers 0 7 with repetition
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QUESTION# 1:How many motorcycle number plates can be made if each plate contains 2different letters followed by 3 different digits? Show
Get answer to your question and much more QUESTION# 2:How many four code words are possible using the letters in COMPUTE if(a) The letters may not be repeated?(b) The letters may be repeated? Get answer to your question and much more Get answer to your question and much more QUESTION# 5:-How many distinct arrangements of letters can be made from the wordCOMPUTER? Get answer to your question and much more RESULT:-40320 distinct arrangements of letters can be made. Upload your study docs or become a Course Hero member to access this document Upload your study docs or become a Course Hero member to access this document End of preview. Want to read all 11 pages? Upload your study docs or become a Course Hero member to access this document Tags Numerical digit, Natural number, Numeral system, The Business Recorder Solution: Given, license plates consist of 3 letters followed by 2 digits. Let the numbers on license plates be N Let the letters on license plates be L So, the license plate consisting of 3 letters and 2 digits will be LLLNN. Letters can be anything from A to Z. There are 26 letter combinations for the first letter. Again second and third letters can be anything from the 26 letters. So, combination for letters = 26 × 26 × 26 = 17576 Numbers can be anything from 0 to 9. There are 10 combinations for each place. So, the combination for numbers = 10 × 10 = 100 Now, the combination for letters and numbers = 17576 × 100 = 1757600. Therefore, 1757600 license plates can be made. How many license plates can be made consisting of 3 letters followed by 2 digits?Summary: 1757600 license plates can be made consisting of 3 letters followed by 2 digits. We have #1,757,600# combinations available for license plates. Number on license plates are of the form #LLLDD#, where #L# represents a letter and #D# represents a digit. As #L# can be anything from #A# to #Z#, there are #26# combinations for that and as repetition is allowed, for second and third letters, we again have #26# combinations available and thus #26xx26xx26=17576# combinations for letters. But digits are from #0# to #9# i.e. #10# combinations for each place and tolal #10xx10=100# combinations. Hence for #LLLDD#, we have #1,757,600# combinations available for license plates. How many distinct 7 place license plates are possible when 3 entries are letters and the remaining 4 are digits 0 included )? Consider each of the following cases separately?All that's left is to specify which of the 7 positions hold the 3 letters (and then the other 4 automatically get the digits). That's C(7,3)=35.
How many possible license plate combinations would there be using 3 letters and 3 digits?There are 10 combinations for each place. Now, the combination for letters and numbers = 17576 × 100 = 1757600. Therefore, 1757600 license plates can be made.
How many 6 character license plates are possible if the first 3 characters are the letters used in Roman numerals and the final 3 are non zero digits?Therefore, we have 7 choices for each of the first 3 characters, and 9 choices for each of the last 3 characters. Therefore, the total number of distinct plates possible is 7*7*7 * 9*9*9 = 343 * 729 = 250047. Good luck! What is the largest number you can write using these Roman numerals once each, I,C, X,V, L?
How many license plates of 2 letters from A to Z followed by 3 digits from 0 to 9 can be made if repetition of letters is not allowed?And so on for every letter of the alphabet. The same applies for the three digits. So for a license plate which has 2 letters and 3 digits, there are: 26×26×10×10×10=676,000 possibilities.
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