Quantitative Reasoning

Permutation & Combination

Medium

How many 3 digit even numbers can be formed from the digits (0 - 9) if repetition of digits are allowed?

350

400

450

1000

✅ Correct Option: 3

For a 3-digit number, the first digit cannot be 0, giving 9 choices. The second digit has 10 choices (0-9). For the number to be even, the last digit must be 0, 2, 4, 6, or 8 - giving 5 choices. Total = $9 \times 10 \times 5 = 450$ .

2025: 23 May Shift 1

Match List-I with List-II

List-I	List-II
(A) $^{75}P_2 - ^{75}C_2$	(I) 504
(B) $^{5}P_5 - ^{10}C_3$	(II) 6
(C) $^{16}C_{13} - ^{8}C_3$	(III) 2775
(D) $^nP_4 = 360$ , then find n	(IV) 0

Choose the correct answer from the options given below:

2026: 21 May Shift 1

In how many different ways can letters of the word "DAILY" be arranged?

2026: 21 May Shift 2

In how many ways can 4 boys and 3 girls be seated in a row if girls must sit together?

2025: 19 May Shift 2

In a team every player shakes his hand with other player only once. If total number of handshakes is 120, then the number of players is:

2026: 30 May Shift 2

Match List-I with List-II

List-I	List-II
(A) $^5P_4 - {^5P_2}$	(I) 120
(B) $^{15}C_{11} - {^{10}C_4}$	(II) 2520
(C) In how many ways, the letters of the word 'STRESS' be arranged?	(III) 100
(D) In how many ways, the letters of the word 'BANKING' be arranged?	(IV) 1155

Choose the correct answer from the options given below:

2026: 29 May Shift 1

In how many different ways can the word VICTORY be written ?

How many 3 digit even numbers can be formed from the digits (0 - 9) if repetition of digits are allowed?

Solution

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