Important Questions of દ્વિપદી પ્રમેય for JEE Mathematics | Zigya

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Gujarati JEE Mathematics : દ્વિપદી પ્રમેય

Multiple Choice Questions

31. સમીકરણ x1 + x2 + x3 + x4 = 31, x1, x2, x3, x4 ∈ W ના ઉકેલોની સંખ્યા ........ છે.
  • open parentheses table row bold 34 row bold 3 end table close parentheses
  • open parentheses table row bold 35 row bold 4 end table close parentheses
  • open parentheses table row bold 33 row bold 2 end table close parentheses
  • open parentheses table row bold 34 row bold 4 end table close parentheses

32. જો bold c subscript bold r bold space bold equals open parentheses table row bold 30 row bold r end table close parentheses bold space bold ત ો bold space open parentheses bold c subscript bold 1 over bold c subscript bold 0 close parentheses to the power of bold 2 bold space bold plus bold space bold 8 bold space open parentheses bold c subscript bold 2 over bold c subscript bold 1 close parentheses to the power of bold 2 bold space bold plus bold space bold. bold. bold. bold space bold plus bold space bold 30 to the power of bold 3 bold space open parentheses bold c subscript bold 30 over bold c subscript bold 29 close parentheses to the power of bold 2 bold space bold equals bold space bold. bold. bold. bold. bold space bold. bold space
  • 75880
  • 76080
  • 76880
  • 76808

33. અસંખ્ય લાલ, પીળા અને વાદળી રંગના દડામાંથી 12 દડા પસંદ કરવાના પ્રકાર ....... છે. 
  • 55
  • 91
  • 105
  • અસંખ્ય

34. અસમતા x + y + z ≤ 30,  ના અનૃપ પૂર્ણાંક ઉકેલોની સંખ્યા ....... છે.
  • 5646
  • 5456
  • 5465
  • 5654

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35. (1 + x + x2 + x3 + x4)3 ના વિસ્તરણમાં xનો સહગુણક ...... છે.
  • 21
  • 24
  • 18
  • 15

36.
સમીકરણ x + y + z = 20, x ≥ 1, y ≥ 2, z ≥ 3, x, y, z ∈ Wના ઉકેલોની સંખ્યા ...... છે.
  • 124
  • 136
  • 210
  • 120

37. bold 3 over bold 4 bold plus open parentheses bold 3 over bold 4 bold cross times bold 5 over bold 8 close parentheses bold space bold plus bold space open parentheses bold 3 over bold 4 bold cross times bold 5 over bold 8 bold cross times bold 7 over bold 12 close parentheses bold space bold plus bold space bold. bold. bold. bold space અનંત પદ= .......
  • bold 2 bold space bold times bold space square root of bold 2 bold space bold plus bold space bold 1
  • square root of bold 2 bold space bold minus bold space bold 1
  • bold 2 bold space bold times bold space square root of bold 2 bold space bold minus bold space bold 1
  • bold 2 bold space bold times bold space square root of bold 2

38. શબ્દ ASSASSINATION શબ્દના અક્ષરોમાંથી 4 અક્ષરો કુલ કેટલી રીતે પસંદ કરી શકાય ?
  • 80
  • 71
  • 72
  • 60

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39.
15 સમાન વસ્તુઓને ત્રણ પેટીમાં કુલ કેટલી રીતે મૂકી શકાય ? (દરેક પેટીમાં વધુમાં વધુ 15 વતુ આવી શકે.)
  • 136
  • 315
  • 15P3
  • 91

40. જો a અને b ધન પૂર્ણાંક હોય, તો open parentheses table row bold a row bold b end table close parentheses bold space bold plus bold space open parentheses table row bold a row cell bold r bold minus bold 1 end cell end table close parentheses bold space open parentheses table row bold b row bold 1 end table close parentheses bold space bold plus bold space open parentheses table row bold a row cell bold r bold minus bold 2 end cell end table close parentheses bold space open parentheses table row bold b row bold 2 end table close parentheses bold space bold plus bold space bold. bold. bold. bold space bold plus bold space open parentheses table row bold b row bold r end table close parentheses bold space bold equals bold space bold. bold. bold. bold. bold. bold. bold. bold space 
  • open parentheses table row cell bold a bold plus bold b end cell row bold r end table close parentheses
  • open parentheses table row cell bold a bold plus bold b end cell row cell bold r bold plus bold 1 end cell end table close parentheses
  • fraction numerator bold left parenthesis bold a bold plus bold b bold right parenthesis bold factorial over denominator bold r bold factorial end fraction
  • fraction numerator bold a bold factorial bold b bold factorial over denominator bold r bold factorial end fraction

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