Question

Jay bought a new car in New York where a license plate can be created with alphabets A, B, C, D, E, W, X, Y, Z and numbers 0 to 9. He can either select a normal license plate or a VIP license plate. The VIP license plate begins with 2 alphabets followed by 3 numbers with repetition allowed. The normal license plate begins with 2 numbers followed by 3 alphabets without repetition.In how many ways can he select VIP license plate?

Answer 1

Answer:

Question :-

☯ Jay bought a new car in New York where a license plate can be created with alphabets A, B, C, D, E, W, X, Y, Z and numbers 0 to 9. He can either select a normal license plate or a VIP license plate. The VIP license plate begins with 2 alphabets followed by 3 numbers with repetition allowed. The normal license plate begins with 2 numbers followed by 3 alphabets without repetition.In how many ways can he select VIP license plate?

Given :-

☯ Jay bought a new car in New York where a license plate can be created with alphabets A, B, C, D, E, W, X, Y, Z and numbers 0 to 9. He can either select a normal license plate or a VIP license plate. The VIP license plate begins with 2 alphabets followed by 3 numbers with repetition allowed. The normal license plate begins with 2 numbers followed by 3 alphabets without repetition.

Find Out :-

☯ In how many ways can he select VIP license plate?

Solution :-

Let, us solving this question step by step :-

✯ As we know that, the VIP lisence plate, it begins with 2 alphabets and is followed by 3 digits.

Jay created with Alphabet out of A, B, C, D, E, W, X, Y, Z and numbers 0 to 9.

So there was 9 ways.

So, the number of ways he can select the VIP lisence plate :

➙ 9 × 9 × 10 × 10 × 10

➙ ${\large{\bold{\purple{\underline{81000}}}}}$

Henceforth, there are 81000 ways can he select VIP license plate.

Answer 2

Solution : Jay bought a new car in New York where a license plate can be created with alphabets A, B, C, D, E, W, X, Y, Z and numbers 0 to 9. He can either select a normal license plate or a VIP license plate. The VIP license plate begins with 2 alphabets followed by 3 numbers with repetition allowed. The normal license plate begins with 2 numbers followed by 3 alphabets without repetition.We have to find the number of ways in which he can select the VIP lisence plate .

Let's proceed

For the VIP lisence plate, it begins with 2 alphabets and is followed by 3 numbers (a_1) . (a_2) . (n_1) , (n_2) , (n_3)

He can select A1 as any one Alphabet out of A,B,C,D,E,W,X,Y,Z

Thats in 9 ways

Now, as repetition is allowed, A1 and A2 can be the same alphabet

So, he can select a_2 in 9 ways also

For n_1, he can choose any number him 0 to 9 ( 10 numbers) So, in 10 ways

Same for n_2 and n_3

So, the number of ways he can select the VIP lisence plate :

= 9 × 9 × 10 × 10 × 10

= 81000 ways

This is the required answer . ________________________________________