jee-main 2019 Q63

jee-main · India · session2_09apr_shift1 Combinations & Selection Selection with Group/Category Constraints

A committee of 11 member is to be formed from 8 males and 5 females. If $m$ is the number of ways the committee is formed with at least 6 males and $n$ is the number of ways the committee is formed with at least 3 females, then:
(1) $m = n = 68$
(2) $n = m - 8$
(3) $m = n = 78$
(4) $m + n = 68$

A committee of 11 member is to be formed from 8 males and 5 females. If $m$ is the number of ways the committee is formed with at least 6 males and $n$ is the number of ways the committee is formed with at least 3 females, then:\\
(1) $m = n = 68$\\
(2) $n = m - 8$\\
(3) $m = n = 78$\\
(4) $m + n = 68$

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