First slide

Combinations

Question

There are 6 Indians, 6 Americans and 8 Germans. Of them a committee of 3 Indians, 4 Americans and 5 Germans is to be formed always including a particular Indian, a particular German and excluding a particular American, no. of such committees formed is

Moderate

A

350
B

1750
C

3500
D

2400

Solution

$=^{5} c_{2} \times^{5} c_{4} \times^{7} c_{4} = 1750$

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