College Algebra

Cover College Algebra
College Algebra
Leonard E Leonard Eugene Dickson
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The proposition also follows from the formula for, (7^.. Thus ri '_:_: : _ "• _ p " -^' - (;, _ r) ! [;/ - {n - r)] ! {n - r) ! r\ ~ "" '" n^n 89. Theorem. For positive integers n mid- r, The combinations of n + 1 different letters a^^ a^, • • • ? «w> ^^i + i ^' ^t a time may be separated into two sets, according as the combination contains the last letter c„ A.
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A A, 88 PERMUTATIONS AND COMBINATIONS. [Ch. IX the n letters «j, a^, ,, . , a^^ which can be done in nCr
...-i ways. If the last letter be not taken, we must select r letters from the n letters «j, rt^, . . . , a„, which can be done in ^0^ ways.

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