а) P₅=5! C⁵₁₁=11!/((11-5)!*5!)=11!/(6!*5!) C⁴₁₁=11!/((11-4)!*4!)=11!/(7!*4!)
5!*(11!/(6!*5!))-11!/(7!*4!))=11!/6!-11!*5/7!=(11!/6!)*(1-(5/7))=(11!/6!)*(2/7).
A⁵₁₂=12!/(12-5)!=12!/7!
(2/7)*11!*7!/(12!*6!)=2*11!*7!/(7!*12!)=2/12=1/6.
ответ: 1/6.
а) P₅=5! C⁵₁₁=11!/((11-5)!*5!)=11!/(6!*5!) C⁴₁₁=11!/((11-4)!*4!)=11!/(7!*4!)
5!*(11!/(6!*5!))-11!/(7!*4!))=11!/6!-11!*5/7!=(11!/6!)*(1-(5/7))=(11!/6!)*(2/7).
A⁵₁₂=12!/(12-5)!=12!/7!
(2/7)*11!*7!/(12!*6!)=2*11!*7!/(7!*12!)=2/12=1/6.
ответ: 1/6.