A coded message from a CIA operative to his Russian KGB counterpart is to be sent in the form Q4ET, where the first and last ent ries must be consonants; the second, an integer 1 through 9; and the third, one of the six vowels. How many different ciphers can be transmitted?
1 answer:
Answer:
21,600
Step-by-step explanation:
If in the coding system being used there are 6 vowels (A, E, I , O, U and Y)
Number of Consonants =26-6 =20
First entry must be a consonant, therefore the first entry can be chosen in 20 ways. The second entry must be an integer 1 through 9, therefore the second entry can be chosen in 9 ways. The third entry must be one of the six vowels, therefore the third entry can be chosen in 6 ways. The last entry must be a consonant, therefore the last entry can be chosen in 20 ways. Therefore:
Number of different possible ciphers =20*9*6*20
=21600
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y | y ≥ 14
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