First slide

Combinations

Question

A student is to answer 10 out of 13 questions in an examination such that he must choose atleast 4 from the first 5 questions. The number of choices available to him is

Easy

A

196
B

280
C

346
D

140

Solution

The number of choices available to him is $=^{5} c_{4} .^{8} c_{6} +^{5} c_{5} .^{8} c_{5}$
$= 196$

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