Mathematics · Permutations and Combinations

JEE Main 2024 — 8 April, Shift 1 — Question 24

The number of 3-digit numbers, formed using the digits $2,3,4,5$ and 7 , when the repetition of digits is not allowed, and which are not divisible by 3 , is equal to $\qquad$

Answer: 36

Numerical answer — enter this value.

Step-by-step solution

2, 3, 4, 5, 7

total number of three digit numbers not divisible by 3 will be formed by using the digits

$(4,5,7)$

$(3,4,7)$

$(2,5,7)$

$(2,4,7)$

$(2,4,5)$

$(2,3,5)$

number of ways $=6 \times 3!=36$

Answer key and solution verified before publishing.

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Exam: JEE Main 2024
Paper: 8 April, Shift 1
Subject: Mathematics
Chapter: Permutations and Combinations
Topic: Applications of Permuations and Combination