A club consists of 30 men and 70 women. In how many ways can a president, vice-president, secretary, and sergeant-at-arms be chosen if the president must be a woman, the sergeant-at-arms must be a man, and one person cannot hold more than one office.
Would I seperate the different scenarios and than multiply like,
70C1 for the president, 30C1 for the sergeant-at-arms, and than 100C1 for the vice-president and secretary. 70C1x30C1x100C1x100C1. Is this correct?
By the way what I mean by 70C1 is 70 denoted C 1 denoted.
Would I seperate the different scenarios and than multiply like,
70C1 for the president, 30C1 for the sergeant-at-arms, and than 100C1 for the vice-president and secretary. 70C1x30C1x100C1x100C1. Is this correct?
By the way what I mean by 70C1 is 70 denoted C 1 denoted.