In a shooting competition a man can score 5, 4, 3, 2, 1 or 0 points for each shot. Then the number of different ways in
which he can score 10 in seven shots is
Answers
Answered by
0
Answer:
the answer is 2⁷ because there are128
Answered by
1
Answer:
6538
Step-by-step explanation:
the easier way to do this is by generating a function ( as I like to call it)
find the coefficient of x^10 in the expansion :
(x^5+x^4+x^3+x^2+x+1)^7
=> [(1-x^6)/(1-x)]^7
=>[(7c0(x^6) -7c1((x^6)^2 .....)(1+7c1(x)+8c2(x^2)...+10c4(x^4)....]
coefficient of x^10 is
=7c0*16c6-7c1*10c4
=8008-1470
=6538
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