The total number of combinations 6 at a time which can be formed from 6 alike white, 6 alike blue, 6 alike green and 6 alike red balls is

Question

The total number of combinations 6 at a time which can be formed from 6 alike white, 6 alike blue, 6 alike green and 6 alike red balls is (A) 90 (B) 84 (C) 78 (D) none

Tardigrade Admin · Accepted Answer

Treat W, B, G, R as beggar 000000 ∅ ∅ ∅= 9 C 3=84 or co-eff. of x6 in (1+x+x2+x3+x4+x5+x6)4

Q. The total number of combinations 6 at a time which can be formed from 6 alike white, 6 alike blue, 6 alike green and 6 alike red balls is

90

84

78

none

Treat W, B, G, R as beggar $000000\emptyset\emptyset\emptyset =^{9} C_{3} = 84$
or co-eff. of $x^{6}$ in $(1 + x + x^{2} + x^{3} + x^{4} + x^{5} + x^{6})^{4}$

Q. The total number of combinations 6 at a time which can be formed from 6 alike white, 6 alike blue, 6 alike green and 6 alike red balls is

90

84

78

none

Treat W, B, G, R as beggar 000000∅∅∅=9C3​=84 or co-eff. of x6 in (1+x+x2+x3+x4+x5+x6)4

Treat W, B, G, R as beggar $000000\emptyset\emptyset\emptyset =^{9} C_{3} = 84$
or co-eff. of $x^{6}$ in $(1 + x + x^{2} + x^{3} + x^{4} + x^{5} + x^{6})^{4}$