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198 practise prob

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198 practise prob

by clammiestqasar » Sun Aug 01, 2010 9:33 pm
133) A firm has 4 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different)
a. 48
b. 100
c. 120
d. 288
e. 600
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Source: — Data Sufficiency |
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by kvcpk » Sun Aug 01, 2010 10:41 pm
clammiestqasar wrote:133) A firm has 4 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different)
a. 48
b. 100
c. 120
d. 288
e. 600
Total number of groups possible are : 10C3 = 120
Number of groups which doesnt involve senior members = 6c3 = 20
So number of groups which has senior partners = 120-20 = 100

Hope this helps!!
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by clammiestqasar » Mon Aug 02, 2010 12:22 am
yea thanks
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