Started 3 weeks ago by TULSI GUPTA in
9 Replies
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Replied 11 months ago
Hi Tulsi.ย Here, we have to initially select 2 sports which are played on at least 3 days each.ย So, the number of ways of selecting 2 out of 4 sports is 4C2 = 6.Now, there are 2 possibilities:Case 1: These 2 sports are played on 7 days such that one plays 4 and other one plays 3.So, total arrangements = 2 * 7! / (4! * 3!) = 35 * 2 = 70Case 2: These 2 sports are played on 3 days each and one more team plays on the other day.So, total arrangements = 2 * 7! / (3! * 3!) = 2 * 140 = 280 ways.Thus, total cases = (280 + 70) * 6 = 2100 (c)
Replied 10 months ago
N is definitely a multiple of 13.Here's why:ย * PPP is a number in base 3. This means its digits can only be 0, 1, or 2.ย * The place value of each digit in base 3 is a power of 3. So, PPP can be expressed as:ย ย * P * 3^2 + P * 3^1 + P * 3^0ย In case of (111)3 the number is 13.In case of (222)3 the number is 26.ย Since N is equal to PPP, then N must be a multiple of 13.Hope this helps!!Please close the ticket if your query is resolved.