The global government of the planet Arthomid functions as a democracy with four

Question

The global government of the planet Arthomid functions as a democracy with four major political parties, the Ansidro, the Kwoe, the Maclamarion, and the Troguat. The technology education committee of the government currently consists of 3 Ansidro, 8 Kwoe, 9 Maclamarion, and 4 Troguat and suppose that a 4-member subcommittee is formed for the purpose of studying the emotional response to new technologies in older adults.

a) How many different subcommittees are possible?

b) How many different subcommittees consist of at least 1 Maclamarion?

c) How many different subcommittees consist of exactly 2 Kwoe and 1 Troguat?

Explanation / Answer

a) No. of subcommitees = 24C4 = 10626

b) At least 1 Maclamarion = Total - No Maclamarion

At least 1 Maclamarion = 10626 - 15C4

At least 1 Maclamarion = 9261

c) 2 Kwoe and 1 Troguat

Ways = choose 2 Kwoe among 8 * Choose 1 Troguat among 4 * Choose 1 member from remaining parties

Ways = 8C2 * 4C1 * 12C1

Ways = 1344

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.