Given : A newly appointed cla ss teacher wants to as sign a unique 5 digit roll number to her students .
she also want all the roll numbers to start with 14.
To Find : In how many ways can she form the roll numbers if no digit appears more than once
5 Digit roll number start with 14
hence 3 more digits required
and digits available to choose are 8 as 2 digits are already used
Hence 3 digits out of 8 can be selected in
⁸C₃ = 56 ways
now 3 Digits can be arranged in 3 ! = 6 ways
Hence total possible roll numbers = 56 x 6
336 roll numbers
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