Latest TCS Aptitude Question SOLUTION: a tourist wants to visit 3 or more of the 5 major cities in india mumbai, bengaluru, chennai, delhi, Kolkata. In how many ways can he plan his tour such that Chennai is always incl

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(#M40021926) TCS question Keep an EYE

a tourist wants to visit 3 or more of the 5 major cities in india mumbai, bengaluru, chennai, delhi, Kolkata. In how many ways can he plan his tour such that Chennai is always included? The plan of the Tour are different if the cities in the tour or the order of cities is different?

Asked In TCS dipali (10 years ago)

Unsolved Read Solution (17)

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Read Solution (17) :

Anchal   (10 years ago)

4C2*3! + 4C3*4! + 4C4*5! = 252

Is this solution Helpfull? Yes (87) | No (9)  

Amit Ganguly  (10 years ago)

we have to exclude 1 city i.e chennai. so from the remaining four we can select 2,3,4 cities bcoz we hv to select >=3 city.the first term is 4c2*2!(2! bcoz of 2 city's own arrangement) second term- 4c3*3! third term- 4c4*4!
adding these we get 12+24+24=60 (ans)

Is this solution Helpfull? Yes (17) | No (13)  

mayawati  (10 years ago)

4c2*2!+4c3*3!+4c4*4!=60

Is this solution Helpfull? Yes (11) | No (15)  

Rama Devi Perumalla  (10 years ago)

3!*4c2 + 4!*4c3 + 5!*4c4 = 252

Is this solution Helpfull? Yes (6) | No (1)  

Mani Shankar  (10 years ago)

1*4*3+1*4*3*2+1*4*3*2*1=60

Is this solution Helpfull? Yes (2) | No (4)  

Raunak MAnchanda  (10 years ago)

For Visit to 3 cities 1 of which is Chennai - 1*4*3 and since the plan of tour is different if the order of cities is different-(1*4*3)*3!=96. Similarly (1*4*3*2)*4!=576 and (1*4*3*2*1)*5!=2880. Total=3552

Is this solution Helpfull? Yes (2) | No (4)  

samit kumar  (7 years ago)

a)5(4!+3!+2!)
b)5!+4*4!+6*3! =====(252)
c)5!+4!+3!
d)5C5+4C3+4C2

As chennai is always there , so tourist have to choose 2 cities out of 4 cities(excluding chennai)....and this can be done by
Chennai must always be includes.
for 3 cities 4C2*3!=====6*3!===36
for 4 cities 4C3*4!=====4*4!===96
for 5 cities 4C4*5!=====1*5!===120
total =========5!+4*4!+6*3!====120+96+36======252

Is this solution Helpfull? Yes (1) | No   

yashoda  (10 years ago)

can any one please send me 2014 tcs recent paper to my mail,20th sep i have tcs campus at vizag..............
mailid:kakarlayashoda@gmail.com

Is this solution Helpfull? Yes | No (7)  

sachin  (10 years ago)

1*4c2+1*4c3+1*4c4=11

Is this solution Helpfull? Yes | No (4)  

Tripti Singh  (10 years ago)

20
using permutation
5P3

Is this solution Helpfull? Yes | No (3)  

abhimanyu  (10 years ago)

please send me all TCS 2014 placement papers to abhir95@gmail.com. i have my campus placement in next 5 days..

Is this solution Helpfull? Yes | No (2)  

payel sarkar  (10 years ago)

36.there are 5 choices,one is taken by chennai,so other 2 are 4*3=12.and there are
3 such orders.so 3*12=36.

Is this solution Helpfull? Yes | No (2)  

tapan kumar  (10 years ago)

4c2*2!+4c3*3!+4c4*4!=60

Is this solution Helpfull? Yes | No (4)  

ashish  (10 years ago)

tourist can go to either 3,4,5 cities.So for 3 cities permutataion will me (4c1*3c1)*3!=72.Now, for 4 cities (4c1*3c1*2c1)*4!=576, for 5 cities (4c1*3c1*2c1*1c1)*5!=2880.Therefor total 72+576+2880=3528.

Is this solution Helpfull? Yes | No (1)  

naveen kuamr m  (10 years ago)

(4c2*3c1*1c1)+(5!)=9+120
ans=129

Is this solution Helpfull? Yes | No (3)  

raashi golchha  (9 years ago)

4c3*3!+4c3*4!+5!

Is this solution Helpfull? Yes | No (1)  

harinee  (8 years ago)

Chennai must always be includes.
for 3 cities 4C2*3!=36
for 4 cities 4C3*4!=96
for 5 cities 4C4*5!=120
total 252

Is this solution Helpfull? Yes | No   

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