test consists of 6 multiple choice questions,
each having 4 alternative answers of which
only one is correct. The number of ways, in
which a candidate answers all six questions
such that exactly four of the answers are
correct, is _
Answers
Answer:
135
Step-by-step explanation:
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Given : test consists of 6 multiple choice questions, each having 4 alternative answers of which only one is correct.
To Find : The number of ways, in which a candidate answers all six questions such that exactly four of the answers are correct,
Solution:
exactly four of the answers are
correct,
Selecting 4 answers out of 6 , correct choice is 1
⁶C₄ x 1 = 15
in remaining 2 answers Wrong choices are 3 in each
hence 3 x 3 = 9 ways
Total Ways = 15 x 9 = 135
135 number of ways, in which a candidate answers all six questions such that exactly four of the answers are correct,
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