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Number plates of cars have to made. The first two digits shoul

Question

Number plates of cars have to made. The first two digits should be alphabets and the next three digits should be numbers. How many number plates can be made such that the number $2$ can only be appeared in the middle of the three digits ( repetition of alphabets and numbers is not allowed)

526500

482110

533061

50000

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William Discussed

Number plates of cars have to made. The first two digits should be alphabets and the next three digits should be numbers. How many number plates can be made such that the number

2

can only be appeared in the middle of the three digits ( repetition of alphabets and numbers is not allowed)

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Text solutionVerified

The first two places can be filled in

26 \times 25

ways

= 650

2

is included then number of ways of filling the three digits

= 9^{2}

ways
If

2

is not included then number of ways

= 9^{3}

ways
Total number of ways

= 650 (81 + 729) = 526500

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Question Text	Number plates of cars have to made. The first two digits should be alphabets and the next three digits should be numbers. How many number plates can be made such that the number $2$ can only be appeared in the middle of the three digits ( repetition of alphabets and numbers is not allowed)
Answer Type	Text solution:1
Upvotes	150

Number plates of cars have to made. The first two digits should be alphabets and the next three digits should be numbers. How many number plates can be made such that the number 2 can only be appeared in the middle of the three digits ( repetition of alphabets and numbers is not allowed)

Text solutionVerified

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Number plates of cars have to made. The first two digits should be alphabets and the next three digits should be numbers. How many number plates can be made such that the number $2$ can only be appeared in the middle of the three digits ( repetition of alphabets and numbers is not allowed)