We want to make a 6 character password such that the password must start and end with a digit. Moreover, one digit must be even and other must be odd. There must be one capital letter. How many such password can we make? Note: Characters for password can be Capital letters, Small letters and Digits.
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First and last place are digits.
one is even and other odd.
So first place can fill with 2,4,6,8,0 So 5 ways
Last place can fill with 1,3,5,7,9 So 5 ways
But the Places can permute that First pace can be filled with odd and last with even.
SO Overall ways to fill first and Last Place
The middle 4 places choose one place for capital letter and It has 26 option and remaining 3 places each has 52 options.(26 small + 26 capital)
Total Number of ways