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How many different words can be made using the letters of the word 'HALLUCINATION' if all consonants are together? (a) 129780 (b) 1587600 (c) 35600 (d) none of these

If all vowels occupy odd places, how many words can be formed from the letters of the word HALLUCINATION? (a) 129650 (b) 1587600 (c) 78500 (d) none of these

If all \(S_{4}^{\prime}\) come together, then in how many ways the leters of the word SUCCESSFUL be arranged? (a) 10080 (b) 40080 (c) 2378 (d) none of these

What is the sum of all the 4 digit numbers which can be formed with the digits \(1,2,3,4\) without repetition? (a) 15560 (b) 87660 (c) 45600 (d) 66660

What is the sum of all 5 digit numbers which can be formed with the digits \(0,1,2,3,4\) without repetition? (a) 2599980 (b) 235500 (c) 923580 (d) 765432

In how many ways can the letters of the word PROPORTION be arranged by taking 4 letters at a time? (a) 123 (b) 758 (c) 658 (d) 578

If a+b+c=21, what is the total number of positive integral solutions/ (a) 109 (b) 190 (c) 901 (d) 910

In how many ways can 8 identical apples be divided among 3 sisters? (a) 25 (b) 65 (c) 45 (d) 24

How many 5 digit numbers contain exactly two 7 's in them? (a) 4268 (b) 6804 (c) 2340 (d) 1269

Seven delegates are to address a meeting. If a particular speaker is to speak before another particular speaker, find the number of ways in which this can be arranged. (a) 1220 (b) 2520 (c) 3250 (d) 7826