[JEE Main 2008] a child buys 6 ice creams from 5 types s 1 the number of
A child buys $6$ ice-creams from $5$ types. S-1: the number of ways is $\binom{10}5$. S-2: it equals the number of arrangements of $6$ A's and $4$ B's.
(a) S-1 false, S-2 true
(b) S-1 true, S-2 true; S-2 explains S-1
(c) S-1 true, S-2 true; S-2 not explanation
(d) S-1 true, S-2 false
1 Answer
Correct answer: (a) S-1 false, S-2 true
The count is $\binom{6+5-1}{5-1}=\binom{10}4=210$ (arrangements of $6$ A's, $4$ B's) — S-2 true; $\binom{10}5=252$ makes S-1 false.
JEE Main 2008 · Permutations and Combinations — verified solution by the Vidaara Team.
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