In how many ways can a ten question multiple choice examination with one correct answer be answered if there are four choices a, b, and d to each question? If no two consecutive questions are answered the same way, how many ways are there?
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the total no of ways that they are answered =16×(15)power 9
Step-by-step explanation:
if we are taken four choice a.b.c.d
in first we should take no options so4c0
in second can take any one options so 4c1
in third case we can take any two options so 4c2
in fourth case we should take any three options so 4c3
in fourth case we can take all options so 4c4
4c0+4c1+4c2+4c3+4c4=2power 4 ways =16
from our ques tion we have ten questions 1 to 10
if we taken 1 ques tion has 16 ways
therefore no two consecutive questions are same
so take remaing 2 to 10 questions 16-1 =15
we can get answer =16×15^9
= 16×15^9 ways
tqqq
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