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Allama Iqbal College of Commerce, Taunsa Sharif (D.G. Khan)*
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MATH MISC
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Screenshot_20240211_074452.jpg

School
Allama Iqbal College of Commerce, Taunsa Sharif (D.G. Khan)*
*We are not endorsed by this school
Course
MATH MISC
Pages
1
Upload Date
Feb 10, 2024
Uploaded by HighnessMask21746 on coursehero.com
(606) a (67) b (68) c (69) a (70) d (7hH a (72) ¢ (73) b (74) IS (75) b (76) b (77) b (8 (= (79 b = SOLUTION E i 6! 6! 6xSx4x3x2! Q1 P = 6-4y 20 2t = 6x5x4x3 = 360 2 1op 10! 4 T o(o-=-2) 100 10x9x8! B T 8! - Q3 "Ce +°Ci2 n' n! r-)'n-r+1) (=2 (n-r+2) n! . n! (r=Ir=2)!(n-r+1)! (=-2)!'(n-r+2)n-r+1)! " IR A SR T - (r-2)!(n-r+l)![r—l n-r+?J n' [n-r+2+r-lfl (r=2)!(n—r+ 1) [(r— I)(n—r+2)'_} o n! n+l1 T (=2 (n=r+1) (r=1)n-r+2) (n+1)n! T or=I)0r=2)(n-r+2)n-r+ ) - (n=1)! C(r=1)!(n-r+2) ".I(.r'l Q4 P = 30 n! (n=-2) 30 n(n-I}n-2)! (n-2)! 30 nin-1)= 30 n-n-30=0 n=6n+5n-30 = 0 nn-6)+5m-6) = 0 (ntS)n-6) = 0 n = -5 (Not possible) [E] Q5 P 6! 6xS5x4x3! 5 T6-3 3 = 120 .7 Proof is similar as Q3. Q Q8 "Cxr= —M—yp= Mo o "orl(n=r)! (n-n)! - .
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