A committee of 5 members is to be form out of 4man and 5 woman. In how many ways can a commitee codfying atleast one man to be form
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4 5
No. of different ways committee can be formed
1 4 = 4C1 × 5C4 = 4 × 5 = 20
2 3 = 4C2 × 5C3 = 6 × 10 = 60
3 2 = 4C3 × 5C2 = 4 × 10 = 40
4 1 = 4C4 × 5C1 = 1 × 5 = 5
Total = 125
Thus the committee can be formed in 125 ways.
4 5
No. of different ways committee can be formed
1 4 = 4C1 × 5C4 = 4 × 5 = 20
2 3 = 4C2 × 5C3 = 6 × 10 = 60
3 2 = 4C3 × 5C2 = 4 × 10 = 40
4 1 = 4C4 × 5C1 = 1 × 5 = 5
Total = 125
Thus the committee can be formed in 125 ways.
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