A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag; If at least one ball is to be included in the draw?

A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag; If at least one ball is to be included in the draw? Correct Answer 64

যেহেতু তিনটি বল টানতে হবে সেহেতু কালো বল নিয়ে সমাধান করা সহজ হবে। তিনটি বলই কালো হওয়ার সম্ভাবনা 3 C3 দুটি কালো এবং অপরটি অন্য রং এর সম্ভাবনা ( 3C2 × 6C1) একটি কালো এবং অপর দুটি অন্য রং হওয়ার সম্ভাবনা = 3C1 × 6C2) মোট সম্ভাবনা = 3C3 + ( 3C2 × 6C1) + ( 3C1 × 6C2) = 64
Bissoy MCQ

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