A code signal uses digit-letter-digit combinations but 0 and 1 are not used for either digits or letters. How many code signals are possible?

Open in App

Solution

Since 0 and 1 are not used, total usable digits = 8

Total usable letters = 26

If repetition is allowed, total number of code signals possible = 8x26x8 = 1664

If repetition is NOT allowed, total number of code signals possible = 8x26x7 = 1456

Suggest Corrections

Similar questions

Q. A three-digit code for certain locks uses the digits

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

according to the following constraints. The first digit cannot be

0

1

, the second digit must be

0

1

, and the second and third digits cannot both be

0

in the same code. How many different codes are possible?

Serial numbers for an item produced in a factory are to be made using two letters followed by four digits (0 to 9). If the letters are to be taken from six letters of English alphabet without repetition and the digits are also not repeated in a serial number, how many serial numbers are possible?

Q. If in code language digit are used for letters according to following code 3456 is coded as ROPE, 15526 is coded as APPLE then how is 54613 coded?

Q. A zip code contains 3 digits. How many different zip codes can be made with the digits 0–9 if no digit is used more than once and the first digit is not 0?

Q. A safety locker in a jewel shop requires a 4 digit unique code. The code has the digits from 0 to 9. How many unique codes are possible?

Join BYJU'S Learning Program

A code signal uses digit-letter-digit combinations but 0 and 1 are not used for either digits or letters. How many code signals are possible?

Since 0 and 1 are not used, total usable digits = 8 Total usable letters = 26 If repetition is allowed, total number of code signals possible = 8x26x8 = 1664 If repetition is NOT allowed, total number of code signals possible = 8x26x7 = 1456

Since 0 and 1 are not used, total usable digits = 8

Total usable letters = 26

If repetition is allowed, total number of code signals possible = 8x26x8 = 1664

If repetition is NOT allowed, total number of code signals possible = 8x26x7 = 1456