The total number of possible 7-place license plates are 67600000.
Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible
Let's solve the given problem:
The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.
- Combination of letters: As there are no restrictions given in the question, so the first letter can be any alphabet out of the 26 alphabets (A, B, C, D, ......... Z). So the first place for the letter can be filled in ²⁶C₁ ways that are 26 ways. Also for the second place, as the letters can repeat so it can be filled in ²⁶C₁ ways too which are 26 ways. Therefore, the possible ways in which the place for two letters can be filled is 26 × 26 ways = 676 ways.
- Combination of numbers: As there are no restrictions given in the question so the first number can be any of the numbers out of the 10 numbers (10, 1, 2, 3, ....... 9). So the first number can be filled in ¹⁰C₁ = 10 ways. Similarly, as the numbers can repeat so the 2nd, 3rd, 4th and 5th numbers can be filled in ¹⁰C₁ ways that all the other places can be filled in 10 ways each. Therefore the total number of ways in which the place for 5 numbers can be filled is 10 × 10 × 10 × 10 × 10 ways = 100000 ways.
Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled
= 676 × 100000
= 67600000 ways
Hence the total number of possible 7-place license plates are 67600000.
Know more about "permutations and combinations" here: brainly.com/question/13387529
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The answer will have to be 4) a+b=3b so this is because a+b hads to equal something like a=1 ans b=2 then you will have a+b and you will always end up with 3ab or 3b
6- neither of the treatments helped dispel the green lime.
7-control group- water
8-independent variable- coconut juice
9-dependent variable- green slime
10- homers conclusion would be that neither coconut juice nor water would treat the green slime that had been in his shower.
1st, 2nd,& 4th. If the variable is in the root or in the denominator / have a negative power, then it is not a polynomial. The 3rd one has the root of y, so it isnt a polynomial.
So twice the number of students who own a lizard is represented by 2l where l is the number who own a lizard. we are given this is less than 10 so 2l<10 we can solve for l by dividing both sides by 2 to get l<5 meaning the number of students who own a lizard is less than 5
