InterviewSolution
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Eight chairs are numbered 1 to 8. Two women andthree men wish to occupy one chair each. First, the women choose the chairsfrom amongst the chairs marked 1 to 4, and then the men select th chairs fromamongst the remaining. The number of possible arrangements isa.`^6C_3xx^4C_2`b. `^4P_2xx^4P_3`c. `^4C_2xx^4P_3`d. none of these |
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Answer» Correct Answer - 468000 First women choose the chairs from amongst the chairs 1 to 4. Two women can be arranged in 4 chairs in `.^(4)P_(2)` ways. In remaining 6 chairs 3 men can be arranged in `.^(6)P_(3)` ways. `therefore` Total number of possible arrangements `= .^(4)P_(2)xx .^(6)P_(3)` `=(4!)/(2!)xx(6!)/(3!)` ltbgt `=4xx3xx6xx5xx4` =1440. |
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