Haryana Police Constable Model Paper 8

Question : 35 of 100

Marks: +1, -0

Find the value of

{ }^{ \n } \C _{ \r }

, if

{ }^{ \n } \P _{ \r }=1320, \r =3

Solution:

Given:

{ }^{\n} \P_{\r}=1320

\r=3

Formula used:

{ }^{\n} \C_{\r}= {{ }^{\n} \P_{\r}} / \r !

Where,

{ }^{ \n } \C _{ \r }

→ number of all combinations of

\n

things

{ }^{\n} \P_{\r}

→ number of all permutations of

\n

things
Calculation:

{ }^{\n} \C_{\r}={{ }^{\n} \P_{\r} }/ \r !

=1320 / 3 !

=1320 /(3 \×2)

=220

\∴

The value of

{ }^{ \n } \C_{ \r }

220

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