IBPS
Exam
Numerical Ability
Permutation and Combination
out of 11 members of a family 4 are males and rest are females.the family hired three taxis on rent to see a museum.the members have to sit in car in such a way that not more the 4 members are in one car and each car has at least one male member,In how many ways the members can travel
Read Solution (Total 3)
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- 4 males
7 females
possible ways of travel for the one taxi= (4C1*7C3 + 4C2*7C2 + 4C3*7C1 + 4C4)
= 295
then,
possible ways of travel for the 3 taxis = 3*295 = 885 - 9 years agoHelpfull: Yes(5) No(1)
- t1:mff,mff,mffm,mff
t2:mff,mfm,mff,mffm
t3:mffm,mfff,mff,mff - 9 years agoHelpfull: Yes(0) No(0)
- the solution given by Ms.shruthi was correct but...we have 3 more possible ways for one taxi
as it stated in problem that not more than 4 members in one car.so we can have 3 members in one taxi.
4C1 * 7C2 + 4C2 * 7C1 + 4C3 = 130
so 295 + 130 = 425
425 * 3 = 1275 - 9 years agoHelpfull: Yes(0) No(2)
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