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 5 letters of english alphabet without repetition and the digits are also not to be repeated then how many serial numbers are possible? serial numbers for an item produced in a factory are to be made using four letters followed by two digits (0 to 9). If the letters are to be taken from 5 letters of english alphabet without repetition and the digits are also not to be repeated then how many serial numbers are possible?
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Step-by-step explanation:
No. of possible choices for the first letter = 6
No. of possible choices for the second letter =5 (no repetition)
No. of possible choices for the first digit : 10
No. of possible choices for the second digit = 9 (no repetition)
No. of possible choices for the third digit = 8 (no repetition)
No. of possible choices for the fourth digit = 7 (no repetition)
Total number of possible serial numbers
= 6×5×10×9×8×7
= 151200
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