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[tex] \large \orange{ \bold{PROBLEM:}}[/tex]
How many four- letter words can be formed from DESTINY If repetition of a letter is NOT permitted? (note: The words may not mean anything) *
[tex] \large \bold{PERMUTATION:}[/tex]
[tex] \bold{DESTINY \:IS \: = 7\: LETTER}[/tex]
[tex] \large \green{ \bold{FORMULA:}}[/tex]
[tex] \bold{P(n,r)= \frac{n!}{(n - r)!}} = ? [/tex]
[tex]\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\linethickness{3mm}\put(1,1){\line(1,0){6.8}}\end{picture}[/tex]
[tex] \bold{N(Objects)=7} \\ \bold{R(Sample)=4}[/tex]
[tex] \bold{P(n,r)=P(7,4)}[/tex]
[tex] \large \bold{ = \frac{7!}{(7 - 4)!} }[/tex]
[tex] \large \dashrightarrow \underline{ \boxed{ \bold{ = 840}}}[/tex]
[tex] \large \bold{7 \times 6 \times 5 \times 4 } \\ \large \bold{ \: \: \: \: \: \: 42 \times5 \times 4} \\ \large \bold{ \: \: \: \: \: \: \: \: \: \: \: \: 210 \times 4} \\ \large \dashrightarrow \underline{ \boxed{ \bold{ \: \: \: \: \: \: \: \: \: \: 840}}}[/tex]
[tex]\purple{\begin{gathered} \gamma \\ \huge \boxed{ \ddot \smile}\end{gathered}} \: \pink{\begin{gathered} \gamma \\ \huge \boxed{ \ddot \smile}\end{gathered}} \: \red{\begin{gathered} \gamma \\ \huge \boxed{ \ddot \smile}\end{gathered}} \: \orange{\begin{gathered} \gamma \\ \huge \boxed{ \ddot \smile}\end{gathered}}[/tex]
[tex] \large \color{indigo}{ \bold{Carry\: On\: Latex}}[/tex]
[tex]\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\linethickness{3mm}\put(1,1){\line(1,0){6.8}}\end{picture}[/tex]
