1. An identification tag consists of two letters followed by six digits. How man

Question

1. An identification tag consists of two letters followed by six digits. How many different 2. How many different arrangements of the letters in the word sleeplessness can be made? 3. How many different ways can five different automobiles be selected from nine different tags can be made if repetitions are allowed? automobiles? How many ways can a committee of four people be selected from six doctors and 8 dentists if you want the committee to be made up of 2 dentists and 2 doctors? A restaurant offers 4 choices of meat, 3 choices of potatoes, 5 choices of vegetables, and 2 choices of dessert. How many different possible meals can be made if a customer must select one item from each category? 5.

Explanation / Answer

Ans 1

If repetitions are allowed

The first and the second letter can be chosen in 26 (a-z) ways

The digits can be chosen in 10 ways

So total tags

26*26*10*10*10*10*10 = 67600000

Chegg asks us to do the first question when multiple questions are posted or the first 4 parts of when multi part question is done

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