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Q.

The number of integral solution of the inequality 4<x1+x2+x3+x4<9 where x1,x2,x3,x40

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a

263

b

264

c

425

d

475

answer is C.

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Detailed Solution

x1+x2+x3+x4<9x1+x2+x3+x4+A=8

Number of integral solution =12C4 and x1+x2+x3+x44

x1+x2+x3+x4+B=4 number of integral solution  8C4

So, total number of integral solution  12C48C4=49570=425

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