A) \[^{8}{{C}_{3}}\]
B) \[^{8}{{C}_{3}}{{-}^{5}}{{C}_{3}}\]
C) \[^{8}{{C}_{3}}{{-}^{5}}{{C}_{3}}-1\]
D) None of these
View Answer play_arrowquestion_answer2) The number of diagonals in a octagon will be [MP PET 1984; Pb. CET 1989, 2000]
A) 28
B) 20
C) 10
D) 16
View Answer play_arrowA) 7
B) 11
C) 8
D) None of these
View Answer play_arrowquestion_answer4) How many triangles can be formed by joining four points on a circle
A) 4
B) 6
C) 8
D) 10
View Answer play_arrowquestion_answer5) How many triangles can be drawn by means of 9 non-collinear points
A) 84
B) 72
C) 144
D) 126
View Answer play_arrowA) \[\frac{1}{2\ !}m(m-5)\]
B) \[\frac{1}{2\ !}m(m-1)\]
C) \[\frac{1}{2\ !}m(m-3)\]
D) \[\frac{1}{2\ !}m(m-2)\]
View Answer play_arrowquestion_answer7) The number of straight lines joining 8 points on a circle is [MP PET 1984]
A) 8
B) 16
C) 24
D) 28
View Answer play_arrowA) 185
B) 175
C) 115
D) 105
View Answer play_arrowA) 60
B) 116
C) 120
D) None of these
View Answer play_arrowA) 106
B) 105
C) 60
D) 55
View Answer play_arrowA) \[^{m+n+k}{{C}_{3}}\]
B) \[^{m+n+k}{{C}_{3}}{{-}^{m}}{{C}_{3}}{{-}^{n}}{{C}_{3}}-{{}^{k}}{{C}_{3}}\]
C) \[^{m}{{C}_{3}}{{+}^{n}}{{C}_{3}}{{+}^{k}}{{C}_{3}}\]
D) None of these
View Answer play_arrowA) 6
B) 18
C) 12
D) 9
View Answer play_arrowA) 105
B) 45
C) 51
D) None of these
View Answer play_arrowA) \[\frac{m+n-2}{m+n}\]
B) \[\frac{m+n-2}{2}\]
C) \[\frac{m+n-2}{m+n+2}\]
D) None of these
View Answer play_arrowA) \[\frac{n(n-1)(n-2)}{8}\]
B) \[\frac{n(n-1)(n-2)(n-3)}{6}\]
C) \[\frac{n(n-1)(n-2)(n-3)}{8}\]
D) None of these
View Answer play_arrowA) \[{{{{(}^{m}}{{C}_{2}})}^{2}}\]
B) \[{{\left( ^{m+1}{{C}_{2}} \right)}^{2}}\]
C) \[{{\left( ^{m+2}{{C}_{2}} \right)}^{2}}\]
D) None of these
View Answer play_arrowA) 535
B) 601
C) 728
D) None of these
View Answer play_arrowA) 32
B) 64
C) 76
D) 104
View Answer play_arrowA) 504
B) 552
C) 560
D) 1120
View Answer play_arrowA) 5
B) 7
C) 6
D) 4
View Answer play_arrowA) 100
B) 150
C) 120
D) None of these
View Answer play_arrowA) \[^{(n-p)}{{C}_{2}}\]
B) \[^{n}{{C}_{2}}-{{\,}^{p}}{{C}_{2}}\]
C) \[^{n}{{C}_{2}}-{{\,}^{p}}{{C}_{2}}+1\]
D) \[^{n}{{C}_{2}}-{{\,}^{p}}{{C}_{2}}-1\]
View Answer play_arrowA) \[^{6}{{C}_{3}}-7\]
B) \[^{6}{{C}_{3}}-6\]
C) \[^{6}{{C}_{3}}-5\]
D) \[^{6}{{C}_{3}}-4\]
View Answer play_arrowquestion_answer24) A polygon has 35 diagonals, then the number of its sides is [AMU 2002]
A) 8
B) 9
C) 10
D) 11
View Answer play_arrowA) 183
B) 186
C) 197
D) 185
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