Quantitative Aptitude :: Permutation and Combination - Discussion
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In a meeting between 2 countries each country has 12 delegates. All the delegates of one country shake hands with all delegates of other countries. Find the number of handshakes possible?
A72
B154
C144
DNone of these
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STEP-BY-STEP
- Total no. of words using L,D,N,G and A,E,I will be 7! i.e.,5040.
5040 contains three kind of words.
1st = Three vowel together(like LAEIDNG,AEILDNG, etc)=720
2nd = Two vowel together (like LAEDNGI,LAIDNGE, etc)=2880
3rd = No vowel together (like LADENIG, ALEDNIG, etc)=1440
Now,no. of ways when no vowels are together can be calculated from below
*L*D*N*G* i.e.,5P3*4!=1440
Hence,no. of ways to have atleast two vowels together=5040-1440=3600
Required answer should be 3600
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