Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

A box contains two white balls, three black balls and four red balls. In how many ways can three balls be drawn from the box if at least one black ball is to be included in the draw?

A box contains two white balls, three black balls and four red balls. In how many ways can three balls be drawn from the box if at least one black ball is to be included in the draw?

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
7 years ago
Hello Student,
Please find the answer to your question
Number of ways drawing at least one black ball = 1 black and 2 other or 2 black and 1 other or 3 black
= 3 C1 x 6 C2 + 3 C2 x 6 C1 + 3 C3 = 3 x 15 + 3 x 6 + 1
= 45 + 18 + 1 = 64
ALTERNATE SOLUTION:
Number of ways drawing at least one black ball
= Total ways No. of ways of drawing no black ball
= 9 C36 C3 = 84 – 20 = 64

Thanks
navjot kalra
askIITians Faculty

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free