In a multiple- choice test consisting of 8 questions, each questi… - Vidyadip

MCQ

In a multiple- choice test consisting of $8$ questions, each question has four options. For each of the questions, exactly one of the four options is the right answer.$A$ student answers all the questions by choosing one option for each question. The number of ways in which the student can get exactly $5$ correct answers is

A
$56$
B
$168$
C
$504$
✓
$1512$

✓

Answer

Correct option: D.

$1512$

d
(d)

Each question can be answered in 4 different ways

Required number of ways

$={ }^8 C _5 \times(1) \times(3)^3$

$=1512$

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