The Math Department Has 6 Committees That Meet Once a Month

question 66

Essay

The Math Department has 6 committees that meet once a month. How many different meeting times must be used to guarantee that no one is scheduled to be at 2 meetings at the same time, if committees and their members are: $C _ { 1 } = \{$ Allen, Brooks, Marg $\} , C _ { 2 } = \{$ Brooks, Jones, Morton $\} , C _ { 3 } = \{$ Allen, Marg, Morton $\}$ , $C _ { 4 } = \{$ Jones, Marg, Morton $\} , C _ { 5 } = \{$ Allen, Brooks $\} , C _ { 6 } = \{$ Brooks, Marg, Morton $\}$ .

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Definitions:

Social Security Tax

A payroll tax collected to fund the Social Security program, which provides benefits to retirees, disabled individuals, and survivors.

Taxable Income

The portion of income subject to tax by the government after all deductions and exemptions.

Federal Receipts

The total income received by the federal government from various sources, including income taxes, corporate taxes, social security taxes, and customs duties.

Individual Income Tax

A tax levied by governments on the income earned by individuals, varying according to income level and filing status.