Asked by Naomi

A certain organization recommends the use of passwords with the following​ format:
consonant comma
consonant,
consonant comma vowel comma consonant comma vowel comma consonant comma number comma number
consonant, vowel, consonant, vowel, consonant, number, number ​(for example,
prinay 67
prinay67​). Assume that repeats are allowed. Complete parts​ (a) and​ (b).
​(a) Assuming passwords are not case​ sensitive, how many such passwords are possible​ (assume that there are 5 vowels and 21​ consonants)?



​(Simplify your​ answer.)

Answers

Answered by PsyDAG
It would help if you proofread your questions before you posted them.

No part (b).

(a) With repeats allowed, multiply all consonants by 21, all vowels by 5 and all numbers by 10 to get the total number of passwords possible.
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