combinatorics tricky question

There are 5 identical red balls, 6 identical green balls, 7 identical black balls and 8 identical white balls, the number of ways of selecting five balls from them is

10 Answers

49
Subhomoy Bakshi ·

well we have to consider cases,,,,,,,,,
5 same color, 4 same 1 diff, 3 same 2 diff, 3 same other 2 also same, 2 same 3 diff, 2 same 2 same 1 diff, 5 diff

thats a gadha ghora method........but light is a genius......everyone will agree with me.

1
divyanshu ·

no light your method is right i got the answer

1
Jagaran Chowdhury ·

why need to consider any particular case.no criteria is mentioned.so
26C5will do.

49
Subhomoy Bakshi ·

exactly jagaran u r absolutely correct........i am such a fool...

49
Subhomoy Bakshi ·

no u r wrong
there r identical balls........

1
Jagaran Chowdhury ·

identical does not make any difference.it is not stated in th question that u cant select 5 identical balls

1
Jagaran Chowdhury ·

agree with light.

1
Jagaran Chowdhury ·

agree with light.good expln.

11
Devil ·

For identical balls u can simply plug in the well-known method of integral (non-negative) solutions - as well, that'll reduce the load of cumbersome calculations as one gets from multinomial thorem.

1
abcd ·

ans: 5+3*(3*4)+4*3c2+4*3c3+8*3c1 =81

dude soumik why do you always give methods that go over my head???
was this calculation cumbersome?

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