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A license plate is to consist of 33 digits followed by 44 uppercase letters. determine the number of different license plates possible if the first and second digits must be​ odd, and repetition is not permitted

Respuesta :

Consider the first 2 digits  There are  5 odd digits so number of ways for first 2  digits  = 5P2 = 20
The third digit  could be 0-9  so for the first 3 digits there are 20 * 10 = 200 ways

Number of ways to to get 4 uppercase letters =  26P4  =  358,800 ways

So Answer is  358,800 * 200 =  71,760,000

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