The number of ways in which a host lady can invite for a party of 8 ou

1.	The number of ways in which a host lady can invite for a party of 8 out of 12 people of whom two do not want to attend the party together is :A. 2 x 11C7 + 10C8B. 10C8 + 11C7C. 12C8 - 10C6D. none of these
Answer» Option : (C) A host lady can invite 8 out of 12 people in ¹²C₈ ways. Two out of these 12 people do not want to attend the party together. Number of ways = ¹²C₈ - ¹⁰C₆

The number of ways in which a host lady can invite for a party of 8 out of 12 people of whom two do not want to attend the party together is :A. 2 x 11C7 + 10C8B. 10C8 + 11C7C. 12C8 - 10C6D. none of these

Answer»

Option : (C)

A host lady can invite 8 out of 12 people in ¹²C₈ ways.

Two out of these 12 people do not want to attend the party together.

Number of ways = ¹²C₈ - ¹⁰C₆