Permutation Test

Result

Permutation Test - 4

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0

If the letters of word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appears at serial number

A
601

B
600

C
603

D
602

Solution

Alphabetical order is A, C, H, I, N, S
No. of words starting with A – 5!
No. of words starting with C – 5!
No. of words starting with H – 5!
No. of words starting with I – 5!
No. of words starting with N – 5!
SACHIN – 1
601
Hence, option A is correct.
Question 2
1 / -0

At an election, a voter may vote for any number of candidates, not greater than the number to be elected. There are 10 candidates and 4 are to be elected. If a voter votes for at least one candidate, then the number of ways in which he can vote is

A
385

B
1110

C
5040

D
6210

Solution

¹⁰ C₁+ ¹⁰C₂ + ¹⁰C₃ + ¹⁰C₄ = 385
∴ (1) is correct answer
Question 3
1 / -0

Find the total number of ways of answering 5 objective type questions, each question having 4 choices.

A
5⁴

B
5⁴–1

C
4⁵

D
4⁵–1

Solution

total question = 5
each question having = 4 choices
Total number of ways of answering is
= 4 × 4 × 4 × 4 × 4 = 4⁵
Question 4
1 / -0

The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is

A
5

B
⁸C₃

C
3⁸

D
21

Solution

Number of balls = 8
number of boxes = 3
Hence number of ways = ^(n-1)C_(r-1) = ⁷C₂ = 21