A four-digit number is formed using the digits 3,4,6 and 7 without repetition. All the possible numbers so formed are added and the sum is equal to P. Which of the following is the value of P?

Answer Choices

Correct answer marked below

133200

123320

133220

133320

Correct

None of these

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Explanation

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Official Explanation

Official

Using digits 3, 4, 6 and 7, you can make

4! = 24

numbers without repetition.

Since the probability of each digit in any place is the same as the probability of any other digit in that place, we will have 6 numbers with 3 in units place, 6 numbers with 4 in units place, 6 numbers with 6 in units place and 6 numbers with 7 in units place. Same for tens place, hundreds place and thousands place.…

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What this question tests

What it tests

Your ability to convert between fractions, ratios, and decimals and to reason proportionally.

Common trap

Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.