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Question ID - 67924 | SaraNextGen Top Answer

A shopping mall is running a scheme: ‘Each packet of detergent “SURE” contains a coupon which bears letter of the word, “SURF”, if a person buys at least four packets of detergent “SURF”, and produce all the letters of the word “SURF”, then he gets one free packet of detergent

 

If a person buys 8 such packets at a time, then number of different combinations of coupon he has

 

a)

b)

c)

d)

Verified Solutions by SaraNextGen


1 Answer
127 votes
Answer Key / Explanation : (c) -

(c)

Let in 8 coupons S, U, R, F appears  times. Then , where

We have to find non-negative integral solutions of the equation. The total number of such solutions is

If a person gets at least one free packet, then he must get each coupon at least once, which is equal to number of positive integral  solutions of the equation. The number of such solutions is . Then, the probability that he gets exactly one free packet is

The probability that he gets two free packets is


127 votes

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