A newly appointed class teacher wants to assign a unique 5 digit roll number to her students . she also want all the roll numbers to start with 14.In how manyways can sheform the roll numbers if no digit appears more than once

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## Answers & Comments

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 onceSolution:5 Digit roll number start with 14

14abc

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

336 roll numbersLearn more:

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