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A train time table must be compiled for various days of the week so that two trains twice a day depart for three days,one train daily for two days and three trains once a day for two days.How many different time tables can be compiled? A 140 B 210 C 133 D 72

A train time table must be compiled for various days of the week so that two trains twice a day depart for three days,one train daily for two days and three trains once a day for two days.How many different time tables can be compiled?
A 140
B 210
C 133
D 72

Grade:12th pass

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
 
the no of trains a day (the digits 1,2,3)are three groups of like elements from which a sample must be formed.
In the time-table for a week, the number 1 repeats twice, the number 2  repeats thrice, and the number 3repeated twice.
The number of different time-tables is given by :7!/ 2!3!2!=210

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