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← JEE Main 2022 · 28 Jul · Shift 2
MathematicsInteger+4 / -1Question 82 of 90

JEE Main 2022 · 28 Jul · Shift 2, Mathematics question 82

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 ______.

Answer and worked solution

Official answer: 17

(b3)(g2)=168\binom b3\binom g2=168 with b=8b=8, g=3g=3 (56×356\times3).

b+3g=17b+3g=17.

Answer: 17