CAT 2017 Permutations and Combinations Question (Medium)

Question

How many four digit numbers, which are divisible by 6, can be formed using the digits 0, 2, 3, 4, 6, such that no digit is used more than once and 0 does not occur in the left-most position? TITA

Accepted Answer

Step 1 We use digits 0, 2, 3, 4, 6 to form four-digit numbers. Conditions - No digit repetition - No leading 0 - Number divisible by 6 must be divisible by 2 and 3 Divisible by 2 ends in 0, 2, 4, or 6 Divisible by 3 sum of digits must be divisible by 3 Step 2 Go case by case based on the last digit

CAT 2017

Quantitative

Permutations and Combinations

Medium

How many four digit numbers, which are divisible by 6, can be formed using the digits 0, 2, 3, 4, 6, such that no digit is used more than once and 0 does not occur in the left-most position? [TITA]

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