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0 votes
1.4k views
in Permutations and combinations by (25 points)
edited by

The number of three-digit numbers, whose middle digit is bigger than the extreme digits, is:

(a)180 

(b) 240 

(c) 300 

(d) None of these

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2 Answers

+1 vote
by (51.4k points)

180 and 240 are numbers in given options whose middle digit is bigger than the extreme digits.

+1 vote
by (57.0k points)

We have to check given condition for all options.

(a) 180

middle digit = 8

extreme digits are 1 & 0.

\(\because\) 8 > 1 + 0 (True)

(b) 240 

4 > 2 + 0 (True)

(c) 300

0 > 3 + 0 (Not true)

\(\therefore\) 180 & 240 satisfies given condition.

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