All the numbers that can be formed using the digits of 12345 are arranged in the decreasing order of magnitude. The rank of 32415 is:

Question

All the numbers that can be formed using the digits of 12345 are arranged in the decreasing order of magnitude. The rank of 32415 is:

Filo · Accepted Answer

We should form 5 digit number using digits 1,2,3,4,5 and we have to find the rank of number 32415If the first digit is 1 , then the number of possible numbers is 4×3×2×1=24If the first digit is 2 , then the number of possible numbers is 4×3×2×1=24If the first digit is 3 and second digit is 1 , the number of possible numbers is 3×2×1=6If the first digit is 3 , second digit is 2 and the third digit is 1 , the number of possible numbers is 2×1=2If the first digit is 3 , second digit is 2 and the third digit is 2 , the number of possible numbers is 2×1=2If the first digit is 3 , second digit is 2 and the third digit is 3 , the number of possible numbers is 2×1=2Therefore the rank of number 32415 is 24+24+6+2+2+2+4=64So the correct option is A

Question Text	All the numbers that can be formed using the digits of $12345$ are arranged in the decreasing order of magnitude. The rank of $32415$ is:
Answer Type	Text solution:1
Upvotes	150

All the numbers that can be formed using the digits of $12345$ are arranged in the decreasing order of magnitude. The rank of $32415$ is:

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