First slide

Combinations

Question

There are two cars of which one holds not more than 5 and the other not more than 4. The number of ways can a party of 8 people go for excursion in the two cars is

Moderate

A

8400
B

126
C

124
D

6400

Solution

$c_{1} c_{2}$
$5 3$

$4 4$

$=^{8} c_{5} .^{3} c_{3} +^{8} c_{4} .^{4} c_{4} = 126$

The number of ways can a party of 8 people go for excursion in the two cars is 126

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