[tex]\small\color{pink}{⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰}[/tex]
[tex]\color{violet}{\boxed{\tt{Angel}}}[/tex]
[tex]\huge\purple{\boxed{\tt{\colorbox{black}{NEED HELP}}}}[/tex]
[tex]\huge\pink{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
[tex]\small \color{magenta}{❦︎ꨄ︎Angelꨄ︎❦︎ }[/tex]
[tex]\huge\pink{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
[tex]\huge\pink{\boxed{\tt{{✾✾}}}}[/tex]
[tex]\huge\pink{\boxed{\tt{{✾✾}}}}[/tex]
[tex]\huge\pink{\boxed{\tt{{✾✾}}}}[/tex]
[tex]\huge\rm\color {red}{A}\color {yellow}{N}\color {green}{S}\color {blue}{W}\color {pink}{E}\color {orange}{R}\color {magenta}{!}[/tex]
[tex]\large\rm\color {red}{A}\color {yellow}{N}\color {green}{S}\color {blue}{W}\color {pink}{E}\color {orange}{R}\color {magenta}{!}[/tex]
[tex]\huge\color{red}\boxed{the}[/tex]
[tex]\huge\color{yellow}\boxed{answer}[/tex]
[tex]\huge\color{blue}\boxed{is}[/tex]
[tex]\huge\pink{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
[tex] \large{ \boxed{{ \colorbox{pink}{Answer}}}}[/tex]
This is the problem of permutation and combination
So, there are 6 places for 10 books on the shelf
the first place can be filled by any one of 10 books. now out of 10 books 1 is already filled, so we have 9 books and 5 places.
the second place can be filled by anyone of 9 books. Now we have 8 books and 4 places
similarly, for 3rd place, we have 8 choices of books, and 7 books are remaining with 3 places, and
for 4th place→ 7 choices
for 5th place → 6 choices
for 6th place → 5 choices
ANS: Therefore the number of ways 10 books can be fit in 6 places is 10*9*8*7*6*5 = 1,51,200.
[tex]\huge\pink{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
[tex]\small \color{magenta}{❦︎ꨄ︎Angelꨄ︎❦︎ }[/tex]
[tex]\huge\pink{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
[tex]{\boxed{\boxed{\sf\pink{-Angel}}}}[/tex]
[tex]\small\color{pink}{⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰}[/tex]
