Pegionhole Principle

Question

How b) is true ? ceil ( 50/7)= at least 8 

Comments

Statement B is need not to be true! And that’s what they are asking

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Sir ,so ans should be b) na ?

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Yes B need not be true hence that will be the answer

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thanks sir.... ans was given c)

Answer 1

since according to pigeon hole principle if there are n pigeons and m holes and n>m

then atleast a hole will have  floor((n-1)/m)+1 pigeons.

so n=50 m=7

floor((50-1)/7)+1=8

so atleast a hole will have 8 pigeons but not 9 pigeons so c is the answer.

Comments

yeah but why b is true ?

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Obviously if there are atleast 8 so 7 can also be there but not more than 8

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if at least 8 are there how come 7 be true?.... at least 8 means...8,9,10.......... isnt it