e greatest positive integer such that 3k is a divisor of 15! then k- a A. 3 B. 4

Question

e greatest positive integer such that 3k is a divisor of 15! then k- a A. 3 B. 4 C. 5 D. 6 E. 7 117. In a certain sock drawer, there are 4 pairs of black socks, 3 pairs of gray socks and 2 pairs of orange socks. If socks are removed at random without replacement, what is the minimum number of socks that must be removed in order to ensure that two socks of the same color have been removed? A. 4 B. 7 C. 9 D. 10 118. Sid intended to type a seven-digit number, but the two "3" he meant to type did not appear. What appeared instead was the five-digit number 52115. How many different seven-digit numbers could Sid have meant to type? A. 10 B. 16 C. 21 D. 24 E. 27

Explanation / Answer

There are 4 pairs of black socks

3 pairs of Grayson socks

2 pairs of orange socks

So there are total 4*2+3*2+2*2= 18 socks

Suppose we draw a 3 socks randomly without replacement , those all are different colour.

So if if we draw next sock which has definitely the pair with previously drawn sample.

So minimum number of socks to get one pair is 4

Ans: A) 4

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