# An english school and a vernacular school are both under one superintendent. suppose that the superintendentship, the four teachership of english and vernacular school each; are vacant, if there be altogether 11 candidates for the appointments, 3 of whom apply exclusively for the superintendentship and 2 exclusively for the appointment in english school, the no. of ways in which the different appointments can be of is?

148 Points
14 years ago

Dear jee king

superitendent position can be filled by in 3C1 ways

now we have 8 candidate and 8 position vacant so all shuld be selected

2 person who apply exclusively for english can be selected in 1 ways

and out of 6 , 2 are appointed for english in 6C2 ways

and rest 4 are appointed for vernacular in 1 way

so total ways = 3*1*15*1 =45

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