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6.Permutation and Combination
medium
$BHARAT$ શબ્દનો ઉપયોગ કરી કુલ કેટલા શબ્દો બનાવી શકાય કે જેમાં $B$ અને $H$ એકસાથે ન આવે.
A
$360$
B
$300$
C
$240$
D
$120$
(IIT-1977)
Solution
(c) The total number of words $ = \frac{{6\;!}}{{2\;!}} = 360$.
The number of words in which $BH$ come together are
$\frac{{5\;!}}{{2\;!}} \times 2\;! = 120$.
Hence required number of ways in which $B$ and $H$ never came together are $360 – 120 = 240$.
Standard 11
Mathematics
