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All India Engineering / Architecture Entrance Examination (AIEEE) CBSE Guess > AIEEE > AIEEE Papers > 2008 > Mathematics AIEEE 2008 MATHEMATICS Q. 17. Let p be the statement 'x is an irrational number”, q be the statement “y is a transcendental number”, and r be the statement “x is a rational number iff y is a transcendental number”. Statement-1: r is equivalent to either q or p.
Sol. P : x is an irrational number
We see that s, and r are not equivalent Q. 18. In a shop there are five types of ice-creams available. A child buys six ice-creams. Statement-1: The number of different ways the child can buy the six ice-creams is . Statement-2: The number of different ways the child can buy the six ice-creams is equal to the number of different ways of arranging 6 A's and 4 B's in a row.
Sol. The number of different ways the child can buy the b ice-creams t1 + t2 + t3 + t4 + t5 = 6 = 6 + 5 - 1C5-1 = 10C4
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