Friday, June 26, 2009

Problem of The Day (26.6.09)

Let S be the set of five-digit numbers formed by the digits 1, 2, 3, 4 and 5,
using each digit exactly once such that exactly two odd positions are occupied
by odd digits. What is the sum of the digits in the rightmost position
of the numbers in S?
a. 228 b. 216 c. 294 d. 192 e. None of these

6 comments:

  1. sir
    do u provide solns for problem of the day??

    ReplyDelete
  2. i m also getting (e).

    _ _ _ _ _
    1 2 3 4 5
    odd even
    if we fix one odd and one even no. at 2nd and 4th position,
    2odds and 1 even are left, which have to be filled up at the odd places.
    i.e. 3C1 * 2C1 * 2! * 3! = 72.

    i.e. 12 * (1+2+3+4+5) = 180

    ReplyDelete
  3. is it 216(B)??
    plz give da answer...

    ReplyDelete
  4. Sorry, for being late in replies.

    The answer is option B) 216!

    Good luck !

    ReplyDelete
  5. can any1 explain how

    ReplyDelete