Question

The global government of the planet Arthomid functions as a democracy with four major political parties,...

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 2 Ansidro, 5 Kwoe, 8 Maclamarion, and 6 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 Troguat?

c) How many different subcommittees consist of exactly 2 Ansidro and 1 Maclamarion?

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Answer #1

Solution -

Given - 2Ansidro , 5 Kwoe , 8 Maclamarion and 6 Troguat

Total members = 2+5+8+6 = 21

a) For subcommittees , We have to choose 4 from 21

Number of possible subcommittees

b)   The subcommittee can have either 1 Troguat or 2 Troguat or 3 Troguat or 4 Troguat

  Number of subcommittee with 1 Troguat

  Number of subcommittee with 2 Troguat

  Number of subcommittee with 3 Troguat

  Number of subcommittee with 4 Troguat

total number of subcommittees consist of at least 1 Troguat

C)   subcommittees consist of exactly 2 Ansidro and 1 Maclamarion

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