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Let `P={p_(1), p_(2),p_(3), p_(4)}` `Q={q_(1),q_(2), q_(3), q_(4)}` and `R={r_(1),r_(2),r_(3),r_(4)}`. If `S_(10)={(p_(i), q_(j), r_(k)):i+j+k=10}`, how many elements does `S_(10)` have ?A. 2B. 4C. 6D. 8 |
Answer» Correct Answer - C Given that `P={p_(1), p_(2),p_(3),p_(4)}` `Q={q_(1),q_(2),q_(3),q_(4)}` and `R={r_(1),r_(2),r_(3),r_(4)}` `S_(10)={(p_(2),q_(4),r_(4)),(p_(3),q_(3),r_(4)),(p_(3),q_(4),r_(3)),(p_(4),q_(2),r_(4)),(p_(4),q_(3),r_(3)),(p_(4),q_(4),r_(2))}` `therefore` Total number of elements is `S_(10)` are 6. |
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