Permutation-Combination

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Five balls of different colours are to be placed in three different boxes such that any box contains at least one ball. What is the maximum number of different ways in which this can be done?
90
no
120
no
150
no
180
yes
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There are 240 balls and n number of boxes B1, B2, B3, Bn. The balls are to be placed in the boxes such that B1 should contain 4 balls more than B2, B2 should contain 4 balls more than B3, and so on. Which one of the following cannot be the possible value of n?
4
no
5
no
6
no
7
yes
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A schoolteacher has to select the maximum possible number of different groups of 3 students out of a total of 6 students. In how many groups any particular student will be included?
6
no
8
no
10
yes
12
no
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A person has 4 coins each of different denomination. What is the number of different sums of money the person can form (using one or more coins at a time)?
16
no
15
yes
12
no
11
no
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How many three-digit numbers can be generated from 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the digits are in ascending order?
80
no
81
no
83
no
84
yes
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In how many different ways can six filmstars be arranged in a line such that two of them, Shahrukh and Salman, are never together?
120
no
240
no
360
no
480
yes
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In how many ways can the alphabets of the word 'ELEPHANTS' be arranged such that the vowels retain their positions?
10080
no
5040
no
2520
yes
11880
no
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A person X has four notes of Rupee 1, 2, 5 and 10 denominator. The number of different sums of money she can form from them is…….
16
no
15
yes
12
no
8
no
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A question paper had ten questions. Each question could only be answered as True(T) or False(F). Each candidate answered all the questions. Yet, no two candidates wrote the answers in an identical sequence. How many different sequences of answers are possible?
20
no
40
no
512
no
1024
yes
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