Can u plz explain what is C???

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**Total 5 people need to be chosen with condition that at least 3 must be women and no restriction on men**

**For that, we have 20 men and 12 women **

**Case 1:** Take 2 men from 20 men and 3 women from 12 women

^{20}C_{2 } *^{ 12}C_{3}

**Case 2: **Take 1 man from 20 men and 4 women from 12 women

^{ 20}C_{1 }*^{ 12}C_{4}

**Case 3:** Take 0 man from 20 men and 5 women from 12 women

^{ 20}C_{0 }*^{ 12}C_{5}

**All these 3 cases are mutually exclusive:**

ANS=^{ 20}C_{2 } *^{ 12}C_{3 } + ^{ 20}C_{1 }*^{ 12}C_{4 } + ^{ 20}C_{0 }*^{ 12}C5

ANS=**52492**