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There are counters available in 7 different colours. Counters are all alike except for the colour and they are atleast ten of each colour. Find the number of ways in which an arrangement of 10 counters can be made. How many of these will have counters of each colour. [ANS ; 7^10 , (49/6) * 10! ]

There are counters available in 7 different colours. Counters are all alike except for the
colour and they are atleast ten of each colour. Find the number of ways in which an
arrangement of 10 counters can be made. How many of these will have counters of each
colour. [ANS ; 7^10 , (49/6) * 10! ]

Grade:11

1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
6 years ago
Hi student,

WE have 10 counters of each colour and 7 different colours. So in all = 70 counters

Now we have to choose 10 counters
Assume there are 10 blank spaces and you want to fill all 10 with some counters.
So for1st blank we have 7 choices only (either counter of red or pink or blue like that)
similarily we have 7 choice for all the other blanks also

So total ways 710

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