A class contains b boys and g girls. If the number of ways of selecting 3 boys and 2 girls from the class is 168 , then b +3 g is equal to

Question

A class contains b boys and g girls. If the number of ways of selecting 3 boys and 2 girls from the class is 168 , then b +3 g is equal to (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

b C 3 × g C 2=168 b ( b -1)( b -2)( g )( g -1)=8 × 7 × 6 × 3 × 2 b +3 g =17

Q. A class contains $b$ boys and $g$ girls. If the number of ways of selecting 3 boys and 2 girls from the class is 168 , then $b + 3 g$ is equal to

$^{b} C_{3} \times^{g} C_{2} = 168$
$b (b - 1) (b - 2) (g) (g - 1) = 8 \times 7 \times 6 \times 3 \times 2$
$b + 3 g = 17$

Q. A class contains b boys and g girls. If the number of ways of selecting 3 boys and 2 girls from the class is 168 , then b+3g is equal to

bC3​×gC2​=168 b(b−1)(b−2)(g)(g−1)=8×7×6×3×2 b+3g=17

Q. A class contains $b$ boys and $g$ girls. If the number of ways of selecting 3 boys and 2 girls from the class is 168 , then $b + 3 g$ is equal to

$^{b} C_{3} \times^{g} C_{2} = 168$
$b (b - 1) (b - 2) (g) (g - 1) = 8 \times 7 \times 6 \times 3 \times 2$
$b + 3 g = 17$