Roll numbers are created with a letter followed by 3 digits in it. Fro

1.	Roll numbers are created with a letter followed by 3 digits in it. From the letter A, B, C, D, E and any 3 digits from 0 to 9. Then, in how many possible ways can the roll numbers be generated?
Answer» We have a letter followed by 3 digits in the roll number. The letter is selected from A, B, C, D, E. For these 5 letters we have to select a 3 digit number using the digits 0 to 9. Once place can be formed using any one of the 10 number 0 to 9 in 10 ways. Tens place can be formed in 10 ways. ∴ A two digit number can be formed in 10 × 10 = 100 ways. Thousands place can be formed in 10 ways ∴ A 3 digit number can be formed in 10 × 10 × 10 = 1000 ways. ∴ 5 letters can be attached in 5 × 1000 = 5000 ways. ∴ The roll number can be formed in 5000 ways.

Roll numbers are created with a letter followed by 3 digits in it. From the letter A, B, C, D, E and any 3 digits from 0 to 9. Then, in how many possible ways can the roll numbers be generated?

Answer»

We have a letter followed by 3 digits in the roll number.

The letter is selected from A, B, C, D, E.
For these 5 letters we have to select a 3 digit number using the digits 0 to 9.

Once place can be formed using any one of the 10 number 0 to 9 in 10 ways.

Tens place can be formed in 10 ways.

∴ A two digit number can be formed in 10 × 10 = 100 ways.

Thousands place can be formed in 10 ways

∴ A 3 digit number can be formed in 10 × 10 × 10 = 1000 ways.

∴ 5 letters can be attached in 5 × 1000 = 5000 ways.

∴ The roll number can be formed in 5000 ways.

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