The letters of the word 'MANKIND' are written in all possible orders and arranged in serial order as in an English dictionary. Then the serial number of the word 'MANKIND' is

Question

The letters of the word 'MANKIND' are written in all possible orders and arranged in serial order as in an English dictionary. Then the serial number of the word 'MANKIND' is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/a1124bf3420631f2b54145aa34302602-.png" /> ((4 × 6 !/2 !))+(5 ! × 0)+((4 ! 3/2 !))+(3 ! × 2)+(2 ! × 1)+(1 ! × 1)+(0 ! × 0)+1=1492

Q. The letters of the word 'MANKIND' are written in all possible orders and arranged in serial order as in an English dictionary. Then the serial number of the word 'MANKIND' is

$(\frac{4 \times 6 !}{2 !}) + (5! \times 0) + (\frac{4 ! 3}{2 !}) + (3! \times 2) + (2! \times 1) + (1! \times 1) + (0! \times 0) + 1 = 1492$

Q. The letters of the word 'MANKIND' are written in all possible orders and arranged in serial order as in an English dictionary. Then the serial number of the word 'MANKIND' is

(2!4×6!​)+(5!×0)+(2!4!3​)+(3!×2)+(2!×1)+(1!×1)+(0!×0)+1=1492

$(\frac{4 \times 6 !}{2 !}) + (5! \times 0) + (\frac{4 ! 3}{2 !}) + (3! \times 2) + (2! \times 1) + (1! \times 1) + (0! \times 0) + 1 = 1492$