If the papers of 4 students can be checked by any one of the 7 teachers, then the probability that all the 4 papers are checked by exactly 2 teachers…

Question

If the papers of 4 students can be checked by any one of the 7 teachers, then the probability that all the 4 papers are checked by exactly 2 teachers, is equal to

MARKS Content Team · Accepted Answer

Correct answer: (B) 6/49. Total ways in which papers can be checked is equal 7^4. Now, two teachers who have to check all the papers can be selected in C27 ways and papers can be checked by them is 2^4-2 favourable ways. Thus, required probability =C272^4-27^4=6/49

If the papers of $4$ students can be checked by any one of the $7$ teachers, then the probability that all the $4$ papers are checked by exactly $2$ teachers, is equal to

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