A) \[\frac{{}^{8}{{C}_{6}}\times {}^{7}{{C}_{5}}}{{}^{15}{{C}_{11}}}\]
B) \[\frac{^{8}{{C}_{6}}{{+}^{7}}{{C}_{5}}}{^{15}{{C}_{11}}}\]
C) \[\frac{15}{28}\]
D) None of these
Correct Answer: A
Solution :
Total number of ways \[={{\,}^{15}}{{C}_{11}}\] Favourable cases \[={{\,}^{8}}{{C}_{6}}\]\[\times {{\,}^{7}}{{C}_{5}}\] Required probability \[=\frac{^{8}{{C}_{6}}\times {{\,}^{7}}{{C}_{5}}}{^{15}{{C}_{11}}}.\]
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