Page 151 - Fixtures
P. 151

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, .k = 6             . 24 − 3k = 6       k x6
                                        T7 = C (12, 6)× 46 × x 6
.C(12,6)× 46 = 3784704

[Row – Sum of Pascal Triangle]

                                                                     :

n C(n, 0) C(n,1)C(n, 2)C(n, 3) C(n, 4)C(n, 5)C(n, 6)C(n, 7) C(n, 8)

01        1                                                       1
11                                                                2
21        21                                                      4
31                                                                8
41        33 1                                                   16
51                                                               32
61        46 4 1                                                 64
71                                                              128
          5 10 10 5 1
81                                                         1 256
          6 15 20 15 6                  1

          7 21 35 35 21 7                        1

          8 28 56 70 56 28 8

24 , 22 ,21 , 20

:.

                  .   n        =  2n                n

                     ∑C (n,k)
                     k=0

                                       ,            :      0
                                  .n                  .n

                                                 21

                                        C(n, 0)

C (n, 2)                                         C (n, 1)
   146   147   148   149   150   151   152   153   154   155   156