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.)

1 answer

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.