Latest TCS Aptitude Question SOLUTION: a wall has to be painted with 7 stripes.the painter has 3 colors (red,blue,yellow)but each only enough for 4 stripes.in how many ways can he paint the wall using only two colors?

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a wall has to be painted with 7 stripes.the painter has 3 colors (red,blue,yellow)but each only enough for 4 stripes.in how many ways can he paint the wall using only two colors?

Asked In TCS SIVARANJANI.S (11 years ago)

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shekhar deshpande  (11 years ago)

answer is 210
we can select 2 colors from 3 in 3C2 ways
now from 7 positions first of all select (7C4)for one color which will color 4 strips then the other one has option of only (3C3) so (7C4*3C3)
now we can arrange those colors in 2!ways since the 4 strips which are colored with one color may be colored with another so
2!(7C4*3C3)=70 and since color can be chosen in 3 ways so
3*70=210 is the answer.

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shikhar  (9 years ago)

no of ways of choosing 2 color is 3c2=3;
now we have to choose from thes two color which will be used for 4 strip i.e 2c1=2;
now 7!/(4!*3!)=35;
total=35*3*2=210;

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bindu  (11 years ago)

like first we can select 2 colors out of three in 3 ways now we need to find the combinations so that is 7!/4!*3!
so 3*7!/4!*3!=105

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