Latest TCS Aptitude Question SOLUTION: In how many ways one or more than one fruit, can be selected from 6 varieties of fruits given that there are 5 fruits of each variety? option a) 66 b) 56 c) 66-1 d) none

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In how many ways one or more than one fruit, can be selected from 6 varieties of fruits given that there are 5 fruits of each variety?
option
a) 66
b) 56
c) 66-1
d) none

Asked In TCS ruchi (10 years ago)

Unsolved Read Solution (7)

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Dipika Jha  (10 years ago)

pls explain

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Divya  (10 years ago)

66-1 is the answer

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roja  (10 years ago)

each fruit has 2 ways,either selected or not selected.there are six varieties of fruits each variety has 5 fruits.no of possible ways of slecting one or more fruits are (5+1)(5+1)(5+1)(5+1)(5+1)5+1) ways.but atleast one is to be selected in 46656-1 ways ie 46655 ways.ans is none

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Shubhashish gaurav  (10 years ago)

1 fruit can be selected in 6 ways
2 fruits can be selected in 6c2 ways
3 frts cn b selected in 6c3
4 fruits cn b selected 6c4
5 friuts cn b selectd in 6c5
and all 6 friut in 1 ways;
since here it asking how many we can select different no of fruits ...total fruits is avaible is 3o;but this is the minimum case of different selection of fruits ...no of ways sud be greater than 6+15+20+15+6+1=63;for seven fruits more than 66 would be there...so answer is none of the above

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Y.Prasanna Chandra Lekha  (10 years ago)

each variety can be selected in 6 ways i.e, 0 or 1 0r 2 0r 3 0r 4 0r 5
so from all the fruits we can select in 6*6=36 ways
but this includes selection of no fruit...
ans=36-1=35 ways
ans:(d)none

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Atanu Roy  (10 years ago)

6^6-1..because 5 fruits of 6 varities can be selected in 6 ways^6..and 1 case for no selection

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Mahesh  (10 years ago)

Lets consider the case of the first fruit. There are 5 fruits of the variety. We have to select either 0/1/2/3/4/5 of this varity of fruit. this can be done in 6 ways.
Same is the case with each variety of fruit, it can be done in 6 ways.
So, total 6 power 6. But we have to exclude the case of selection o fruits of each variety. This particular case must be excluded.

So, total of (6^6)-1 ways. Choice (c)

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