Match the counting results. Column I: (A) Arrangements of BANANA with the Ns nonadjacent. (B) Words using all letters of IITJEE. (C) Positive divisors of 2 2 ⋅ 3 2 ⋅ 5 ⋅ 7 9 . (D) Nonempty selections

Question

Match the counting results. Column I: (A) Arrangements of BANANA with the Ns nonadjacent. (B) Words using all letters of IITJEE. (C) Positive divisors of $2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{9}$ . (D) Nonempty selections from four oranges, five apples, six mangoes, identical within each type. Column II: (p) 40 (q) 180 (r) 209 (s) 6

Column I	Column II
(A) Arrangements of BANANA with the Ns nonadjacent.	(p) 40
(B) Words using all letters of IITJEE.	(q) 180
(C) Positive divisors of $2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{9}$ .	(r) 209
(D) Nonempty selections from four oranges, five apples, six mangoes, identical within each type.	(s) 6

TestHub · Accepted Answer

A = 6 ! / ( 3 ! 2 !) − 5 ! /3 ! = 40. B = 6 ! / ( 2 ! 2 !) = 180. C = ( 3 ) ( 3 ) ( 2 ) ( 10 ) = 180. D = ( 5 ) ( 6 ) ( 7 ) − 1 = 209. A − C repeat Q 9 ; D repeats Q7(C).

Mathematics - Permutation & Combination Question with Solution | TestHub

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