question is attached. Please send step by step complete solution.

Asked by sudhanshubhushanroy | 10th Dec, 2017, 04:02: AM

Expert Answer:

begin mathsize 16px style According space to space the space question space batsman space can space score space 14 space runs space in space 6 space balls space nballs space not
scoring space more space than space 4 space runs space is
straight s subscript 1 plus straight s subscript 2 plus straight s subscript 3 plus straight s subscript 4 plus straight s subscript 5 plus straight s subscript 6 equals 14
and space 0 less or equal than straight s subscript straight n less or equal than 4 comma space space space space 1 less or equal than straight n less or equal than 6
coefficient space of space straight s to the power of 14 space left parenthesis straight s to the power of 0 plus straight s plus straight s squared plus straight s cubed plus straight s to the power of 4 right parenthesis to the power of 6
coefficient space of space straight s to the power of 14 space is space open parentheses fraction numerator 1 minus straight s to the power of 5 over denominator 1 minus straight s end fraction close parentheses to the power of 6
coefficient space of space straight s to the power of 14 space is space open parentheses 1 minus straight s to the power of 5 close parentheses to the power of 6 space open parentheses 1 minus straight s close parentheses to the power of negative 6 end exponent
straight C presuperscript 6 subscript 0 space straight C presuperscript 14 plus 6 minus 1 end presuperscript subscript 6 minus 1 end subscript space minus space straight C presuperscript 6 subscript 1 space straight C presuperscript 9 plus 6 minus 1 end presuperscript subscript 6 minus 1 end subscript space plus straight C presuperscript 6 subscript 2 space straight C presuperscript 9 subscript 5
straight C presuperscript 19 subscript 5 space minus space 6 straight C presuperscript 14 subscript 5 space plus straight C presuperscript 6 subscript 2 space straight C presuperscript 9 subscript 5
straight C presuperscript 19 subscript 5 space minus space 6 straight C presuperscript 14 subscript 5 space plus 15 space 9 straight C subscript 5
space space
end style

Answered by Sneha shidid | 13th Dec, 2017, 05:01: PM