Page 104 - Fixtures

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y1 = x1 − 10 ()
()
.y1 + x2 + x3 + x4 + x5 = 100 − 10 = 90

.C(94, 4) = 94 ! = 3049501

4! × 90!

:

x1 + x2 + x3 + x4 + x5 = 100

.C(104, 4)

xi ≥ 0 x1 ≥ 81 x1 + x2 + x3 + x4 + x5 = 100

y1 = x1 − 81 .i = 2, 3, 4,5

y1 + x2 + x3 + x4 + x5 = 100 − 81 = 19

.C(23, 4)

x1 + x2 + x3 + x4 + x5 = 100 xi ≥ 0 x1 ≤ 80
i = 2, 3, 4,5

C(104, 4) −C(23, 4) = 27588756 − 53130 = 27536626

B x1 ≥ 10 A ()

. x1 ≥ 81

A − B = C (94, 4) − C (23, 4) = 3049501 − 53130 = 2996371

100 ( )