Question

If all the arrangements formed using all the letters of the following words are arranged in the order of dictionary then what will be the rank of that word SUMAN. (with solution)​​

Answer 1

The letters of the word SUMAN in ascending order are A, M, N, S, U.

So the words starting with A will be first among the words arranged in order of dictionary, then M, N, S, U keeping the same order.

$\quad$

SUMAN starts with S, so it follows all the words starting with A, M and N each, as in the order.

No. of words starting with A, M and N each = 1 × 4 × 3 × 2 × 1 = 24.

Then total no. of words starting with A, M or N = 3 × 24 = 72.

SUMAN starts with SU, so it follows all the words starting with SA, SM and SN each, as in the order.

No. of words starting with SA, SM and SN each = 1 × 1 × 3 × 2 × 1 = 6.

Then total no. of words starting with SA, SM or SN = 3 × 6 = 18.

SUMAN starts with SUM, so it follows all the words starting with SUA, as in the order.

No. of words starting with SUA = 1 × 1 × 1 × 2 × 1 = 2.

Now the upcoming word starts with SUM, SUMA and it's SUMAN, which is ahead of 72 + 18 + 2 = 92 words.

Hence the rank of SUMAN is 92 + 1 = 93.

Answer 2

Answer:

Rank of SUMAN is 93

Step-by-step explanation:

4x3!+3x3!+1x2!+1=72+18+2+1=