Question

if the lettets of the word GARDEN are permuted in all possible ways and the strings thus formed are arranged in the dictionary order. then find rhe rank of the worc DANGER​

Answer 1

Step-by-step explanation:

the word GARDEN are permuted in all possible ways and the strings thus formed are arranged in the dictionary order. then find rhe rank of the worc DANGER

Answer 2

${\huge{\color{red} {\underline{\underline {\sf{\color{black}{Question:}}}}}}}$

If the letters of the word GARDEN are permuted in all possible ways and the strings thus formed are arranged in the dictionary order. Then find rhe rank of the worc DANGER.

${\huge{\color{blue} {\underline{\underline {\sf{ \color{black}{Solution:}}}}}}}$

The number of words starting with A=5! =120

The number of words starting with DAE=3!=6

The number of words starting with DAG=3!=6

The number of words starting with DANE=2!=2

The number of words starting with DANGER=1=1

‎ ‎ ‎ ‎ ‎120

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎6

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎6

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎2

‎ ‎ ‎+ ‎ ‎ ‎ ‎1

‎ ‎ ‎━━━━

‎ ‎ ‎ ‎= 135

‎ ‎ ‎━━━━

So the rank of word DANGER is 135.

${ \large { \color{red} {\underline {\underline {\sf {\color{black}{❥Hope \: it \: helps \: you....}}}}}}}$