Serial number 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 no.,how many serial no.s are possible?

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Solution

Dear Student,
umber of possible choices for the first letter = 6

number of possible choices for the second letter =5 (no repetition)

number of possible choices for the first digit : 10

number of possible choices for the second digit = 9 (no repetition)
number of possible choices for the third digit = 8 (no repetition)
number of possible choices for the fourth digit = 7 (no repetition)
Total number of possible serial numbers
$6 \times 5 \times 10 \times 9 \times 8 \times 7 = 151200$

Regards

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​​Serial number 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 no.,how many serial no.s are possible?

Serial number 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 no.,how many serial no.s are possible?