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If nC2=66,find the value of n?​
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2 votes
If nC2=66,find the value of n?​

User Mpkuth
by
7.2k points

1 Answer

5 votes

GiveN :-


  • \sf \: {}^(n){ C}_(2) \: = 66

To finD :-

  • the value of n

SolutioN :-


\sf \hookrightarrow \: \: {}^(n){ C}_(2) \: = 66


\sf \hookrightarrow \: \: {}^(n){ C}_(2) \: = 6 * 11


\sf \hookrightarrow \: \: {}^(n){ C}_(2) \: = (12 * 11)/(2) \\


\sf \hookrightarrow \: \: {}^(n){ C}_(2) \: = (12 * 11 * 10 \: !)/(10 !* 2!) \\


\sf \hookrightarrow \: \: {}^(n){ C}_(2) \: = (12 \: !)/(10 !* 2!) \\


\sf \hookrightarrow \: \: {}^(n){ C}_(2) \: = (12 \: !)/( 2! * 10 !) \\


\sf \hookrightarrow \: \: {}^(n){ C}_(2) \: = (12 \: !)/( 2! * (12 - 2) !) \\


\sf \hookrightarrow \: \: {}^(n){ C}_(2)\: ={}^(12){ C}_(2) \\


\sf \hookrightarrow \: \: n = 12 \\

User Doug Smith
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