Question bank/JEE Main/Mathematics

JEE MainMathematicsModeratePemutation and combination

Number of natural number's less than 7000 using digit 0, 1, 3,
7, 9 (repetition allowed) is

Show answer and solution
Ist 2st 3st 4st
position position position position

There are 3 way to fill I^st position (0, 1, 3) for remaining digits

there are 5 ways.

(0000 is not included)

hence required ans = 3.5.5.5 - 1 = 375- 1 = 374

Source: Grass-G / M-11 Mathematics Paper-2 1Nov.docx

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