11.From 6 men and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done, if the committee is to include at least one lady?
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A.
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246
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B.
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340
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C.
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290
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D.
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315
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Answer – (A)
Solution:
To committee can be formed in the following ways:
1 lady + 4 gents or 2 ladies + 3 gents or 3 ladies + 2 gents or 4 ladies + 1 gent or 5 ladies + 0 gents.
Total number of possible arrangements:
(C14*C46)+(C24*C36)+(C34*C26)+(C44*C16)
=> 60+120+60+6= 246
Title : Permutation And Combination Q11
Description : 11.From 6 men and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done, if the committee is to include at least ...
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