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vFkZ'kkL=k esa lkaf[;dh; fof/;k¡




                    uksV                                                                       1
                                  n = 5,                                   p =3 vkus dh izkf;drk =
                                                                                               2
                                                               n – r
                                                           n
                                  r liQyrkvksa dh izkf;drk] p(r) =  C q   p r
                                                             r
                                  ;ksx 12 osQoy ,d rjg ls gks ldrk gS (2 + 2 + 2 + 3 + 3)
                                  vr%;ksx 12 gksus dh izkf;drk              =2 liQyrkvksa dh izkf;drk
                                                                              n
                                                                            = C  q n – 2  p 2
                                                                                2
                                                                              5 F 1I 5 −  2  1 F I 2
                                                                                  2 H K
                                                                                         2 H K
                                                                            = C 2G J    G J
                                                                                   1 F I F
                                                                                        1I
                                                                                      3
                                                                            = 10 × G J G J 2
                                                                                   2 H K H
                                                                                        2K
                                                                               10   5
                                                                            =    =    .
                                                                               32  16
                                  mnkgj.k (Illustration) 7: pkj rk'k osQ iÙks fcuk iquLFkkZfir fd;s [khaps tkrs gSaA bldh D;k izkf;drk gS fd
                                  pkjksa bDosQ gksaxs\

                                                                               4    4   4    4 F I    4
                                                                                                   1
                                                                                                 G J
                                                                                               =
                                  gy (Solution):                vHkh"V izkf;drk =  ×  ×    ×  52 H 13K
                                                                               52  52   52
                                  mnkgj.k (Illustration) 8: 3 iklksa dks ,d lkFk isaQdus ij rhuksa iklksa esa le la[;k vkus dh izkf;drk gS\
                                  gy (Solution): cuksZyh izes; osQ laosQrks esa] ;gk¡
                                  n = 3,              ,d ikls ij le la[;k vkuk = liQyrk
                                                                               3  1
                                                          liQyrk dh izkf;drk] p =  =
                                                                               6  2
                                                                               1
                                                        vliQyrk dh izkf;drk] q =
                                                                               2
                                                                                   1 F I 3  1
                                                                                   2 H K
                                       rhuksa iklksa ij le la[;k vkus dh izkf;drk] p(3) = p  = G J =  8  .
                                                                               3
                                  mnkgj.k (Illustration) 9: ;fn gokbZ tgktksa osQ nsjh ls mM+us dk vuqikr 0.4 gks rks 10 gokbZ tgkrksa esa ls 4

                                        gokbZ tgktksa osQ nsjh ls mM+us dh izkf;drk D;k gSA
                                  gy (Solution): cuksZyh izes; osQ laosQrksa essa
                                         ,d gokbZ tgkt dk gh le; ij mM+uk = liQyrk
                                             ,d gokbZ tgkt dk nsjh ls mM+uk = vliQyrk
                                                    liQyrk dh izkf;drk] p = 1 – 0.4 = 0.6
                                                  vliQyrk dh izkf;drk] q = 0.4
                                                                     n =10
                                                                               4
                                                      vHkh"V izkf;drk p(4) =  10 C  (0.4)  (0.6) 6
                                                                           4
                                                                         10! F I F I    6
                                                                                  4
                                                                               4
                                                                                     6
                                                                         46!! H 10K H 10K
                                                                      =      G J G J
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