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Permutations and Combinations

Short Answer Type

131. In how many of the distinct permutations of the latter in MISSISSIPPI do the four I’s not come together?

119 Views

132. In how many ways can the letters of word ‘ASSASSINATION’ be arranged so that all the S’s are together?

164 Views

133. In how many ways can the letters of word ‘ASSASSINATION’ be arranged so that the arrangements be such that they start with O and end with T and the S’s are all together ?

107 Views

Long Answer Type

134.

How many different words, with or without meaning can be formed, by using the letters of the word ‘HARYANA’? Also, find as to:

(a) how many of these begin with H and end with N?

(b) in how many of these H and N are together?

591 Views

Short Answer Type

135. Find the number of words with or without which can be made using all the letters of the word ‘AGAIN’. If these words are written as in a dictionary, what will be the 50th word?

107 Views

136. The letters of the word ‘RANDOM’ are arranged as in a dictionary. What is the rank of word ‘RANDOM’?

469 Views

Long Answer Type

137.

How many different words can be formed by using the letters of the word ‘ALLAHABAD?

(a) In how many of these do the vowels occupy even positions.

(b) In how many of these, the two L’s do not come together?

526 Views

Short Answer Type

138.
In how many ways can 8 students be seated

(a) in a straight line (b) in a circle?

n = 8

(a) Number of arrangements in a row = $<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$

(b) Number of arrangements in circular formation = (n - 1)! = 7! = 5040.