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```
a timetable 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 timetables can be compiled
a timetable 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 timetables can be compiled

```
4 years ago

Atharva Baste
37 Points
```							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
```
3 years ago
Anjuvi
13 Points
```							For train 1 number of ways you can choose 3 days from 7 days = $\binom{7}{3}$For train 2 number of ways you can choose 2 days from rematning 4 = $\binom{4}{2}$For train 3 number of ways you can choose 2 days from reamining 2 days=$\binom{2}{2}$ Total ways =$\binom{7}{3}$$\binom{4}{2}$$\binom{2}{2}$=210
```
one year ago
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