JEE PYQ

[JEE Main 2002] a five digit number divisible by 3 is formed from 0 1 2 3

VAVidaara Admin Asked 2d ago 0 views 1 answer

A five-digit number divisible by $3$ is formed from $0,1,2,3,4,5$ without repetition. The number of such numbers is

(a) $312$
(b) $3125$
(c) $120$
(d) $216$

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Correct answer: (d) $216$

Drop a digit $\equiv0\pmod3$: drop $0\to120$, drop $3\to5!-4!=96$; total $216$.

JEE Main 2002 · Permutations and Combinations — verified solution by the Vidaara Team.

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