3. A committee consists of a president, a treasurer and a secretary. The three posts are...

Transcribed Image Text:

3. A committee consists of a president, a treasurer and a secretary. The three posts are to be chosen from a club consisting of 10 people (A, B, C, D, E, F, G, H, I and J). Find the number of ways to form the committee if (a) there is no restriction; (b) A will serve; (c) B will serve only if he is president; (d) C and D will serve together or not at all; (e) E and F will not serve together. 3. A committee consists of a president, a treasurer and a secretary. The three posts are to be chosen from a club consisting of 10 people (A, B, C, D, E, F, G, H, I and J). Find the number of ways to form the committee if (a) there is no restriction; (b) A will serve; (c) B will serve only if he is president; (d) C and D will serve together or not at all; (e) E and F will not serve together.