ams 301 SOLUTIONS TO 2nd tests

# ams 301 SOLUTIONS TO 2nd tests - SOLUTIONS TO PREVIOUS...

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SOLUTIONS TO PREVIOUS TESTS Solution to Fall 2009 Test 2 1.(8 pt) Test A: C(9+5-1,9) - 5xC(5+5-1,5) + C(5,2)xC(1+5-1,1); Test B: C(10+7-1,10) - 7xC(6+7-1,6) + C(7,2)xC(2+7-1,2) . 2. (8 pt) Test A: a) e1+ e2 + . . + e8 = 25, ei>=2; b) (x^2+ x^3 + x^4 . .)^8, c oef of x^25, c) C(9+8-1,9); Test B: a) e1+ e2 + . . + e4 = 27, ei>=4; b) (x^4+ x^5 + x^6 . .)^4, c oef of x^25, c) C(11+4-1,11). 3. (7/8 pt) Test A: C(13,4)*4^4/C(52,4); Test B: C(9,k)*9^(9-k). 4. (8/7 pt) Test A: C(6,5)*9^(6-r); Test B: C(13,3)*4^3/C(52,3). 5. (10 pt) Test A: 11!/(3!2!) - 10!/(2!2!); Test B: 8!/(2!2!) - 7!/2! 6. (14 pt) Test A: 2C(3+3-1,3)C(8,6)*1*2!; Test B:2C(6+3-1,6)C(11,3)3!/(2!1!) 7. (10 pt) Test A: P(C(6,2),5); Test B: P(C(5,2),7). Solution to Fall 2008 Test 2 1.(8 pt) C(13+8-1,13) - 8xC(8+8-1,8) + C(8,2)xC(3+8-1,3). 2. (8 pt) Test A: a) e1+ e2 + . . + e6 = 23, ei>=3; b) (x^3+ x^4 + x^5 . .)^6, coef of x^23, c) C(5+6-1,5). 3.

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ams 301 SOLUTIONS TO 2nd tests - SOLUTIONS TO PREVIOUS...

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